Cremona's table of elliptic curves

2312 = 2³ · 17²

Field	Data	Notes
Atkin-Lehner	2- 17+	Signs for the Atkin-Lehner involutions
Class	2312c	Isogeny class
Conductor	2312	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-7143175619584 = -1 · 210 · 178	Discriminant
Eigenvalues	2-  2  2  2  6  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,4528,51260]	[a1,a2,a3,a4,a6]
j	415292/289	j-invariant
L	3.771046228511	L(r)(E,1)/r!
Ω	0.47138077856388	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4624d2 18496h2 20808m2 57800h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2312c2

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

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Quadratic twists for elliptic curve 2312c2

-4	8	-3	5	-7	17
4624d2	18496h2	20808m2	57800h2	113288ba2	136a2

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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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