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	2310g	Isogeny class
Conductor	2310	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	720291785342976000 = 236 · 32 · 53 · 7 · 113	Discriminant
Eigenvalues	2+ 3- 5+ 7- 11+  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-305749,50640416]	[a1,a2,a3,a4,a6]
Generators	[256520:2341939:512]	Generators of the group modulo torsion
j	3160944030998056790089/720291785342976000	j-invariant
L	2.6835115646643	L(r)(E,1)/r!
Ω	0.26881963905879	Real period
R	9.9825726054091	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480bn3 73920bt3 6930bl3 11550bk3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310g3

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	-6	-4	0	-6	-4	2	-6	-4	0	-6	12	14	-16	0	2	-4	0	-6	-10

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Quadratic twists for elliptic curve 2310g3

-4	8	-3	5	-7	-11
18480bn3	73920bt3	6930bl3	11550bk3	16170m3	25410cl3

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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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