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	1794a	Isogeny class
Conductor	1794	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	-5037552 = -1 · 24 · 34 · 132 · 23	Discriminant
Eigenvalues	2+ 3+  0  2  6 13-  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-155,-819]	[a1,a2,a3,a4,a6]
j	-415996269625/5037552	j-invariant
L	1.3509499330812	L(r)(E,1)/r!
Ω	0.67547496654062	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14352bi1 57408y1 5382n1 44850by1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1794a1

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

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Quadratic twists for elliptic curve 1794a1

-4	8	-3	5	-7	13	-23
14352bi1	57408y1	5382n1	44850by1	87906m1	23322j1	41262a1

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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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