Cremona's table of elliptic curves

1369 = 37²

Field	Data	Notes
Atkin-Lehner	37+	Signs for the Atkin-Lehner involutions
Class	1369d	Isogeny class
Conductor	1369	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2736	Modular degree for the optimal curve
Δ	94931877133 = 377	Discriminant
Eigenvalues	2 -3  2 -1 -5  2  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-1369,12663]	[a1,a2,a3,a4,a6]
Generators	[-222:1365:8]	Generators of the group modulo torsion
j	110592/37	j-invariant
L	3.4732877164923	L(r)(E,1)/r!
Ω	0.984243139962	Real period
R	1.7644459867032	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	21904m1 87616o1 12321f1 34225g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1369d1

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	-3	2	-1	-5	2	0	0	-2	-6	4	+	-9	-2	-9	1	-8	8	8	9	-1	-4	-15	-4	-4

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Quadratic twists for elliptic curve 1369d1

-4	8	-3	5	-7	37
21904m1	87616o1	12321f1	34225g1	67081f1	37a1

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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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