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	2310a	Isogeny class
Conductor	2310	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	103306896000000 = 210 · 32 · 56 · 72 · 114	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ 11+ -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-12078,143028]	[a1,a2,a3,a4,a6]
Generators	[-109:478:1]	Generators of the group modulo torsion
j	194878967635813609/103306896000000	j-invariant
L	1.8108076601395	L(r)(E,1)/r!
Ω	0.52300345041809	Real period
R	1.7311622501648	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18480cu2 73920dg2 6930bg2 11550cj2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310a2

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

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Quadratic twists for elliptic curve 2310a2

-4	8	-3	5	-7	-11
18480cu2	73920dg2	6930bg2	11550cj2	16170z2	25410bs2

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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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