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	6360h	Isogeny class
Conductor	6360	Conductor
∏ cp	484	Product of Tamagawa factors cp
deg	1626240	Modular degree for the optimal curve
Δ	8.315980796385E+22	Discriminant
Eigenvalues	2- 3- 5-  2  0  4  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-863102600,-9760096560000]	[a1,a2,a3,a4,a6]
j	69440210808984840670969773604/81210749964697265625	j-invariant
L	3.3703061216285	L(r)(E,1)/r!
Ω	0.027853769600235	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12720c1 50880f1 19080c1 31800e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6360h1

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	0	4	0	0	-8	6	-2	4	12	-8	12	+	0	0	-4	4	6	14	16	-6	-14

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Quadratic twists for elliptic curve 6360h1

-4	8	-3	5
12720c1	50880f1	19080c1	31800e1

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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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