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	7800l	Isogeny class
Conductor	7800	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-15600000000 = -1 · 210 · 3 · 58 · 13	Discriminant
Eigenvalues	2- 3+ 5+  2  0 13+  4  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-8,6012]	[a1,a2,a3,a4,a6]
j	-4/975	j-invariant
L	1.978213471797	L(r)(E,1)/r!
Ω	0.98910673589851	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	15600o1 62400cw1 23400i1 1560g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7800l1

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	6	-6	4	8	6	6	-4	-8	-2	0	-2	4	-8	0	16	4	-6	-16

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Quadratic twists for elliptic curve 7800l1

-4	8	-3	5	13
15600o1	62400cw1	23400i1	1560g1	101400g1

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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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