Cremona's table of elliptic curves

5775 = 3 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 11-	Signs for the Atkin-Lehner involutions
Class	5775z	Isogeny class
Conductor	5775	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	7016625 = 36 · 53 · 7 · 11	Discriminant
Eigenvalues	-1 3- 5- 7- 11-  0 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-53,72]	[a1,a2,a3,a4,a6]
Generators	[1:4:1]	Generators of the group modulo torsion
j	131872229/56133	j-invariant
L	3.1217676665564	L(r)(E,1)/r!
Ω	2.1317166272834	Real period
R	0.48814613015032	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	92400ew1 17325bp1 5775k1 40425bo1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5775z1

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

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Quadratic twists for elliptic curve 5775z1

-4	-3	5	-7	-11
92400ew1	17325bp1	5775k1	40425bo1	63525cd1

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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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