Cremona's table of elliptic curves

7800 = 2³ · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13+	Signs for the Atkin-Lehner involutions
Class	7800k	Isogeny class
Conductor	7800	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	126720	Modular degree for the optimal curve
Δ	-1315468821420000000 = -1 · 28 · 311 · 57 · 135	Discriminant
Eigenvalues	2- 3+ 5+  1 -5 13+ -3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,242967,30253437]	[a1,a2,a3,a4,a6]
j	396555344454656/328867205355	j-invariant
L	0.70230763484349	L(r)(E,1)/r!
Ω	0.17557690871087	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15600n1 62400cv1 23400h1 1560d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7800k1

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
-	+	+	1	-5	+	-3	-6	-7	-6	-10	11	5	4	2	5	0	1	4	-5	-6	11	8	7	13

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Quadratic twists for elliptic curve 7800k1

-4	8	-3	5	13
15600n1	62400cv1	23400h1	1560d1	101400e1

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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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