Cremona's table of elliptic curves

2310 = 2 · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	2310b	Isogeny class
Conductor	2310	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	25088	Modular degree for the optimal curve
Δ	2486234429521920 = 228 · 37 · 5 · 7 · 112	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ 11-  6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-198418,-34016972]	[a1,a2,a3,a4,a6]
j	863913648706111516969/2486234429521920	j-invariant
L	0.90498029237218	L(r)(E,1)/r!
Ω	0.22624507309305	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	18480cr1 73920df1 6930be1 11550cm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310b1

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

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Quadratic twists for elliptic curve 2310b1

-4	8	-3	5	-7	-11
18480cr1	73920df1	6930be1	11550cm1	16170bh1	25410bx1

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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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