Cremona's table of elliptic curves

792 = 2³ · 3² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 11+	Signs for the Atkin-Lehner involutions
Class	792d	Isogeny class
Conductor	792	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	6158592 = 28 · 37 · 11	Discriminant
Eigenvalues	2- 3- -2  0 11+  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-111,434]	[a1,a2,a3,a4,a6]
Generators	[-11:18:1]	Generators of the group modulo torsion
j	810448/33	j-invariant
L	2.1181494566091	L(r)(E,1)/r!
Ω	2.3650528514829	Real period
R	0.89560343451988	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	1584g1 6336z1 264b1 19800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 792d1

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	+	2	-6	0	-4	-2	0	-10	-6	-8	4	6	12	2	4	-12	-14	16	12	-10	-14

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Quadratic twists for elliptic curve 792d1

-4	8	-3	5	-7	-11
1584g1	6336z1	264b1	19800c1	38808cd1	8712k1

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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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