Cremona's table of elliptic curves

5356 = 2² · 13 · 103

Field	Data	Notes
Atkin-Lehner	2- 13- 103+	Signs for the Atkin-Lehner involutions
Class	5356a	Isogeny class
Conductor	5356	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	342784 = 28 · 13 · 103	Discriminant
Eigenvalues	2-  1  1  0 -6 13-  7  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-20,-28]	[a1,a2,a3,a4,a6]
Generators	[-4:2:1]	Generators of the group modulo torsion
j	3631696/1339	j-invariant
L	4.5611525617427	L(r)(E,1)/r!
Ω	2.3179957309694	Real period
R	0.6559046537207	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	21424t1 85696f1 48204h1 69628a1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 5356a1

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	1	0	-6	-	7	1	-4	5	-4	7	8	-4	-4	6	-3	-13	-8	-2	9	-14	-3	-1	-14

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Quadratic twists for elliptic curve 5356a1

-4	8	-3	13
21424t1	85696f1	48204h1	69628a1

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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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