Cremona's table of elliptic curves

5328 = 2⁴ · 3² · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 37-	Signs for the Atkin-Lehner involutions
Class	5328f	Isogeny class
Conductor	5328	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	248583168 = 210 · 38 · 37	Discriminant
Eigenvalues	2+ 3-  2  0 -4 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-63939,-6222958]	[a1,a2,a3,a4,a6]
Generators	[361:4212:1]	Generators of the group modulo torsion
j	38725206845188/333	j-invariant
L	4.2523186749916	L(r)(E,1)/r!
Ω	0.30023277127048	Real period
R	3.5408515341257	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	2664g3 21312bt4 1776a3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 5328f3

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	0	-4	-2	6	0	-4	-6	-4	-	6	8	-8	-6	0	14	-4	-16	-6	4	-4	-18	2

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Quadratic twists for elliptic curve 5328f3

-4	8	-3
2664g3	21312bt4	1776a3

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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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