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	1794d	Isogeny class
Conductor	1794	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	7922304 = 27 · 32 · 13 · 232	Discriminant
Eigenvalues	2+ 3+ -2  2  0 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-79871,8655045]	[a1,a2,a3,a4,a6]
Generators	[157:48:1]	Generators of the group modulo torsion
j	56350733547218620537/7922304	j-invariant
L	1.7762967735538	L(r)(E,1)/r!
Ω	1.3375490825757	Real period
R	1.3280236192404	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	14352bf2 57408bi2 5382k2 44850bt2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1794d2

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	0	-	-6	0	-	2	4	2	-6	6	4	12	-12	-4	-4	8	-2	-8	-16	-16	4

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Quadratic twists for elliptic curve 1794d2

-4	8	-3	5	-7	13	-23
14352bf2	57408bi2	5382k2	44850bt2	87906p2	23322p2	41262d2

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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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