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	64	Product of Tamagawa factors cp
Δ	1138958528400 = 24 · 34 · 52 · 74 · 114	Discriminant
Eigenvalues	2- 3+ 5- 7+ 11+ -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3245,-50605]	[a1,a2,a3,a4,a6]
Generators	[-35:164:1]	Generators of the group modulo torsion
j	3778993806976081/1138958528400	j-invariant
L	3.9614829321028	L(r)(E,1)/r!
Ω	0.6473142539562	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	18480dg4 73920cg3 6930g4 11550y3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310n3

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 2310n3

-4	8	-3	5	-7	-11
18480dg4	73920cg3	6930g4	11550y3	16170bx4	25410t3

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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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