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	2442c	Isogeny class
Conductor	2442	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	194033737531392 = 232 · 3 · 11 · 372	Discriminant
Eigenvalues	2+ 3+ -2 -4 11-  6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-22786,1132276]	[a1,a2,a3,a4,a6]
Generators	[53:251:1]	Generators of the group modulo torsion
j	1308451928740468777/194033737531392	j-invariant
L	1.5984607176513	L(r)(E,1)/r!
Ω	0.54299830158737	Real period
R	2.9437674353279	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	19536bd1 78144y1 7326i1 61050cj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442c1

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
+	+	-2	-4	-	6	-2	0	-8	10	8	-	6	0	-8	6	-4	-2	12	0	2	-4	-4	-6	-14

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Quadratic twists for elliptic curve 2442c1

-4	8	-3	5	-7	-11	37
19536bd1	78144y1	7326i1	61050cj1	119658bw1	26862o1	90354q1

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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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