Cremona's table of elliptic curves

1794 = 2 · 3 · 13 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13- 23-	Signs for the Atkin-Lehner involutions
Class	1794c	Isogeny class
Conductor	1794	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-666216252 = -1 · 22 · 34 · 132 · 233	Discriminant
Eigenvalues	2+ 3+  2 -2 -4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,176,-788]	[a1,a2,a3,a4,a6]
Generators	[6:20:1]	Generators of the group modulo torsion
j	597585982967/666216252	j-invariant
L	1.9976348099781	L(r)(E,1)/r!
Ω	0.87152871929899	Real period
R	0.38201739956905	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	14352bd1 57408bl1 5382l1 44850bs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1794c1

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	-2	-4	-	2	4	-	-6	-4	-2	2	-2	-4	-4	4	4	8	-8	14	-16	-12	-4	16

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Quadratic twists for elliptic curve 1794c1

-4	8	-3	5	-7	13	-23
14352bd1	57408bl1	5382l1	44850bs1	87906s1	23322q1	41262f1

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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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