Cremona's table of elliptic curves

3360 = 2⁵ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+	Signs for the Atkin-Lehner involutions
Class	3360b	Isogeny class
Conductor	3360	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	2893401000000 = 26 · 310 · 56 · 72	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-20266,1114216]	[a1,a2,a3,a4,a6]
Generators	[78:44:1]	Generators of the group modulo torsion
j	14383655824793536/45209390625	j-invariant
L	2.755244258756	L(r)(E,1)/r!
Ω	0.80689025890866	Real period
R	3.4146455832576	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	3360u1 6720ba2 10080by1 16800bx1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360b1

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

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Quadratic twists for elliptic curve 3360b1

-4	8	-3	5	-7
3360u1	6720ba2	10080by1	16800bx1	23520u1

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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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