Cremona's table of elliptic curves

5355 = 3² · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 17-	Signs for the Atkin-Lehner involutions
Class	5355q	Isogeny class
Conductor	5355	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	-487974375 = -1 · 38 · 54 · 7 · 17	Discriminant
Eigenvalues	1 3- 5- 7-  0 -6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,126,-945]	[a1,a2,a3,a4,a6]
Generators	[66:507:1]	Generators of the group modulo torsion
j	302111711/669375	j-invariant
L	4.9055590377788	L(r)(E,1)/r!
Ω	0.86030903170789	Real period
R	1.4255223579486	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	85680fi1 1785k1 26775x1 37485s1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5355q1

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	-6	-	4	0	2	0	-6	10	4	-4	-6	-4	-14	-12	-12	-10	-12	-16	6	-18

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Quadratic twists for elliptic curve 5355q1

-4	-3	5	-7	17
85680fi1	1785k1	26775x1	37485s1	91035h1

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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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