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	7800d	Isogeny class
Conductor	7800	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	-4819668750000 = -1 · 24 · 33 · 58 · 134	Discriminant
Eigenvalues	2+ 3- 5+  0  0 13+  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,4217,8438]	[a1,a2,a3,a4,a6]
j	33165879296/19278675	j-invariant
L	2.7844101911687	L(r)(E,1)/r!
Ω	0.46406836519478	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	15600a1 62400u1 23400bf1 1560i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7800d1

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	+	6	4	0	-2	0	2	-2	4	-4	10	8	-2	4	-12	6	0	16	-10	-2

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Quadratic twists for elliptic curve 7800d1

-4	8	-3	5	13
15600a1	62400u1	23400bf1	1560i1	101400cu1

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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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