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	2310k	Isogeny class
Conductor	2310	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	30015562500 = 22 · 34 · 56 · 72 · 112	Discriminant
Eigenvalues	2+ 3- 5- 7+ 11+ -6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-788,-1762]	[a1,a2,a3,a4,a6]
Generators	[-21:85:1]	Generators of the group modulo torsion
j	54014438633401/30015562500	j-invariant
L	2.7906020767812	L(r)(E,1)/r!
Ω	0.96630979261796	Real period
R	0.24065799067923	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	18480cl2 73920j2 6930z2 11550bs2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310k2

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

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Quadratic twists for elliptic curve 2310k2

-4	8	-3	5	-7	-11
18480cl2	73920j2	6930z2	11550bs2	16170g2	25410cy2

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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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