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	2310j	Isogeny class
Conductor	2310	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	62240270400 = 26 · 38 · 52 · 72 · 112	Discriminant
Eigenvalues	2+ 3- 5- 7+ 11+  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-16633,824156]	[a1,a2,a3,a4,a6]
Generators	[115:-718:1]	Generators of the group modulo torsion
j	508859562767519881/62240270400	j-invariant
L	2.8408268919919	L(r)(E,1)/r!
Ω	1.0649601756286	Real period
R	0.33344285507144	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	18480cj2 73920g2 6930x2 11550bq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310j2

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	-8	-8	-6	0	-6	-2	4	12	-14	4	-10	8	0	-10	4	-4	-14	14

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Quadratic twists for elliptic curve 2310j2

-4	8	-3	5	-7	-11
18480cj2	73920g2	6930x2	11550bq2	16170d2	25410cx2

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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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