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	1794f	Isogeny class
Conductor	1794	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	27893112 = 23 · 3 · 133 · 232	Discriminant
Eigenvalues	2+ 3-  0 -4  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-281216,-57422794]	[a1,a2,a3,a4,a6]
j	2459470239675979413625/27893112	j-invariant
L	1.2439157978032	L(r)(E,1)/r!
Ω	0.20731929963387	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14352q4 57408n4 5382j4 44850bk4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1794f4

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	-4	0	-	0	2	-	6	8	2	-6	8	-12	6	12	8	2	12	14	14	0	-18	-4

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Quadratic twists for elliptic curve 1794f4

-4	8	-3	5	-7	13	-23
14352q4	57408n4	5382j4	44850bk4	87906c4	23322u4	41262m4

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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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