Cremona's table of elliptic curves

6360 = 2³ · 3 · 5 · 53

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 53+	Signs for the Atkin-Lehner involutions
Class	6360a	Isogeny class
Conductor	6360	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	11127456000 = 28 · 38 · 53 · 53	Discriminant
Eigenvalues	2+ 3+ 5+ -4  4  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2316,43380]	[a1,a2,a3,a4,a6]
Generators	[-51:162:1]	Generators of the group modulo torsion
j	5368919813584/43466625	j-invariant
L	2.8133881741713	L(r)(E,1)/r!
Ω	1.2840687400199	Real period
R	2.1909949884207	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	12720j1 50880bv1 19080o1 31800y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6360a1

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

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Quadratic twists for elliptic curve 6360a1

-4	8	-3	5
12720j1	50880bv1	19080o1	31800y1

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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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