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	2442h	Isogeny class
Conductor	2442	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	35377817158176768 = 212 · 32 · 1110 · 37	Discriminant
Eigenvalues	2- 3-  0  4 11+  4  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-818343,284726601]	[a1,a2,a3,a4,a6]
j	60607987148648054544625/35377817158176768	j-invariant
L	4.3514863873324	L(r)(E,1)/r!
Ω	0.36262386561103	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19536x2 78144n2 7326d2 61050e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442h2

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

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Quadratic twists for elliptic curve 2442h2

-4	8	-3	5	-7	-11	37
19536x2	78144n2	7326d2	61050e2	119658ce2	26862j2	90354i2

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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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