Cremona's table of elliptic curves

1353 = 3 · 11 · 41

Field	Data	Notes
Atkin-Lehner	3+ 11- 41+	Signs for the Atkin-Lehner involutions
Class	1353a	Isogeny class
Conductor	1353	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-11469763899 = -1 · 32 · 11 · 415	Discriminant
Eigenvalues	1 3+  3 -1 11- -2  3  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-11,5148]	[a1,a2,a3,a4,a6]
j	-169112377/11469763899	j-invariant
L	2.032351554337	L(r)(E,1)/r!
Ω	1.0161757771685	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	21648bc1 86592bd1 4059c1 33825s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1353a1

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	+	3	-1	-	-2	3	5	3	-1	7	1	+	10	-2	-4	1	6	6	10	6	-4	12	-6	12

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Quadratic twists for elliptic curve 1353a1

-4	8	-3	5	-7	-11	41
21648bc1	86592bd1	4059c1	33825s1	66297q1	14883g1	55473m1

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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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