Cremona's table of elliptic curves

1369 = 37²

Field	Data	Notes
Atkin-Lehner	37+	Signs for the Atkin-Lehner involutions
Class	1369c	Isogeny class
Conductor	1369	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	36	Modular degree for the optimal curve
Δ	-1369 = -1 · 372	Discriminant
Eigenvalues	-1  0 -1  2 -2  2 -3  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2,-2]	[a1,a2,a3,a4,a6]
Generators	[1:0:1]	Generators of the group modulo torsion
j	999	j-invariant
L	1.7150822417615	L(r)(E,1)/r!
Ω	2.6167663175593	Real period
R	0.65542048223901	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	21904f1 87616a1 12321d1 34225c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1369c1

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
-1	0	-1	2	-2	2	-3	6	4	-9	10	+	-9	-2	6	-2	4	-1	-10	6	-10	-10	-12	-7	-7

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Quadratic twists for elliptic curve 1369c1

-4	8	-3	5	-7	37
21904f1	87616a1	12321d1	34225c1	67081d1	1369b1

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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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