Cremona's table of elliptic curves

5320 = 2³ · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 19-	Signs for the Atkin-Lehner involutions
Class	5320h	Isogeny class
Conductor	5320	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	3467044000000 = 28 · 56 · 74 · 192	Discriminant
Eigenvalues	2-  0 5- 7- -4  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3967,-34974]	[a1,a2,a3,a4,a6]
Generators	[-23:210:1]	Generators of the group modulo torsion
j	26969341851216/13543140625	j-invariant
L	3.9962276089661	L(r)(E,1)/r!
Ω	0.63397419688501	Real period
R	0.52528788876599	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	10640d2 42560m2 47880n2 26600c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5320h2

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
-	0	-	-	-4	2	2	-	0	-10	0	10	-6	4	0	2	-12	-2	0	-8	10	-8	-12	-6	-10

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Quadratic twists for elliptic curve 5320h2

-4	8	-3	5	-7	-19
10640d2	42560m2	47880n2	26600c2	37240n2	101080j2

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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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