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	7800a	Isogeny class
Conductor	7800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	624000000 = 210 · 3 · 56 · 13	Discriminant
Eigenvalues	2+ 3+ 5+  0  0 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-20808,-1148388]	[a1,a2,a3,a4,a6]
Generators	[317:4900:1]	Generators of the group modulo torsion
j	62275269892/39	j-invariant
L	3.4836367233651	L(r)(E,1)/r!
Ω	0.39750285011909	Real period
R	4.3819015666445	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	15600m3 62400cq4 23400be4 312c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7800a3

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
+	+	+	0	0	+	-2	-4	0	6	0	2	6	12	4	-6	-8	-2	-4	-12	14	0	-8	-18	6

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Quadratic twists for elliptic curve 7800a3

-4	8	-3	5	13
15600m3	62400cq4	23400be4	312c3	101400ca4

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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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