Cremona's table of elliptic curves

2442 = 2 · 3 · 11 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 37-	Signs for the Atkin-Lehner involutions
Class	2442f	Isogeny class
Conductor	2442	Conductor
∏ cp	88	Product of Tamagawa factors cp
deg	12672	Modular degree for the optimal curve
Δ	233729407061568 = 26 · 311 · 11 · 374	Discriminant
Eigenvalues	2+ 3-  0 -2 11+  4  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-36946,2629412]	[a1,a2,a3,a4,a6]
Generators	[-203:1433:1]	Generators of the group modulo torsion
j	5577108481460841625/233729407061568	j-invariant
L	2.7094213788819	L(r)(E,1)/r!
Ω	0.55211531772503	Real period
R	0.2230612215748	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19536v1 78144m1 7326m1 61050bk1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442f1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	0	-2	+	4	2	-8	-2	-2	-8	-	6	12	-10	12	-4	0	-12	-14	-14	-10	12	6	-10

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Quadratic twists for elliptic curve 2442f1

-4	8	-3	5	-7	-11	37
19536v1	78144m1	7326m1	61050bk1	119658i1	26862x1	90354x1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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