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	1794i	Isogeny class
Conductor	1794	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	233902064448 = 26 · 312 · 13 · 232	Discriminant
Eigenvalues	2- 3-  0  2  6 13- -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4088,97536]	[a1,a2,a3,a4,a6]
j	7555496578890625/233902064448	j-invariant
L	3.9451022923617	L(r)(E,1)/r!
Ω	0.98627557309044	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	14352u2 57408a2 5382f2 44850a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1794i2

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

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Quadratic twists for elliptic curve 1794i2

-4	8	-3	5	-7	13	-23
14352u2	57408a2	5382f2	44850a2	87906bb2	23322h2	41262x2

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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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