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	2310q	Isogeny class
Conductor	2310	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	-181905111732960 = -1 · 25 · 316 · 5 · 74 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+ -6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,2689,646905]	[a1,a2,a3,a4,a6]
Generators	[106:-1511:1]	Generators of the group modulo torsion
j	2150235484224911/181905111732960	j-invariant
L	4.7225851268628	L(r)(E,1)/r!
Ω	0.43548640427825	Real period
R	0.27110979128555	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	18480ca4 73920bk3 6930n4 11550g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310q4

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

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Quadratic twists for elliptic curve 2310q4

-4	8	-3	5	-7	-11
18480ca4	73920bk3	6930n4	11550g4	16170bq4	25410bg3

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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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