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	96	Product of Tamagawa factors cp
Δ	49280400000000 = 210 · 36 · 58 · 132	Discriminant
Eigenvalues	2- 3- 5+  0  4 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-10408,226688]	[a1,a2,a3,a4,a6]
Generators	[-37:750:1]	Generators of the group modulo torsion
j	7793764996/3080025	j-invariant
L	5.2560816453418	L(r)(E,1)/r!
Ω	0.57702054619846	Real period
R	1.5181670970442	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	15600d2 62400y2 23400g2 1560a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7800t2

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 7800t2

-4	8	-3	5	13
15600d2	62400y2	23400g2	1560a2	101400bb2

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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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