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	7800t	Isogeny class
Conductor	7800	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	-877500000000 = -1 · 28 · 33 · 510 · 13	Discriminant
Eigenvalues	2- 3- 5+  0  4 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,2092,26688]	[a1,a2,a3,a4,a6]
Generators	[-2:150:1]	Generators of the group modulo torsion
j	253012016/219375	j-invariant
L	5.2560816453418	L(r)(E,1)/r!
Ω	0.57702054619846	Real period
R	0.7590835485221	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	15600d1 62400y1 23400g1 1560a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7800t1

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	4	+	2	-4	-4	-6	-4	-6	-2	-12	-8	-14	12	-2	0	8	2	8	-12	6	10

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Quadratic twists for elliptic curve 7800t1

-4	8	-3	5	13
15600d1	62400y1	23400g1	1560a1	101400bb1

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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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