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	792a	Isogeny class
Conductor	792	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	55427328 = 28 · 39 · 11	Discriminant
Eigenvalues	2+ 3+  0 -2 11+ -6  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-135,-486]	[a1,a2,a3,a4,a6]
Generators	[-5:8:1]	Generators of the group modulo torsion
j	54000/11	j-invariant
L	2.198498767251	L(r)(E,1)/r!
Ω	1.4206345210506	Real period
R	1.5475470535695	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	1584b1 6336i1 792c1 19800x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 792a1

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

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Quadratic twists for elliptic curve 792a1

-4	8	-3	5	-7	-11
1584b1	6336i1	792c1	19800x1	38808c1	8712q1

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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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