Cremona's table of elliptic curves

2296 = 2³ · 7 · 41

Field	Data	Notes
Atkin-Lehner	2- 7- 41-	Signs for the Atkin-Lehner involutions
Class	2296b	Isogeny class
Conductor	2296	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-484058810368 = -1 · 211 · 78 · 41	Discriminant
Eigenvalues	2-  0 -2 7-  0  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,949,31526]	[a1,a2,a3,a4,a6]
j	46152198846/236356841	j-invariant
L	1.3428404986192	L(r)(E,1)/r!
Ω	0.67142024930958	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	4592a4 18368l4 20664g4 57400b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2296b4

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

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Quadratic twists for elliptic curve 2296b4

-4	8	-3	5	-7	41
4592a4	18368l4	20664g4	57400b3	16072g4	94136d3

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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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