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	2310n	Isogeny class
Conductor	2310	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1443750000 = 24 · 3 · 58 · 7 · 11	Discriminant
Eigenvalues	2- 3+ 5- 7+ 11+ -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-19725,1058067]	[a1,a2,a3,a4,a6]
Generators	[81:-36:1]	Generators of the group modulo torsion
j	848742840525560401/1443750000	j-invariant
L	3.9614829321028	L(r)(E,1)/r!
Ω	1.2946285079124	Real period
R	1.5299689864279	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	18480dg3 73920cg4 6930g3 11550y4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310n4

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	-2	-8	6	-6	-4	8	-2	-4	-2	-4	0	10	-16	4	-6	10

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Quadratic twists for elliptic curve 2310n4

-4	8	-3	5	-7	-11
18480dg3	73920cg4	6930g3	11550y4	16170bx3	25410t4

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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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