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
Δ	812934144 = 210 · 38 · 112	Discriminant
Eigenvalues	2- 3- -2  0 11+  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-291,-1330]	[a1,a2,a3,a4,a6]
Generators	[-13:16:1]	Generators of the group modulo torsion
j	3650692/1089	j-invariant
L	2.1181494566091	L(r)(E,1)/r!
Ω	1.1825264257414	Real period
R	1.7912068690398	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	1584g2 6336z2 264b2 19800c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 792d2

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 792d2

-4	8	-3	5	-7	-11
1584g2	6336z2	264b2	19800c2	38808cd2	8712k2

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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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