Cremona's table of elliptic curves

5700 = 2² · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 19-	Signs for the Atkin-Lehner involutions
Class	5700q	Isogeny class
Conductor	5700	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	205770000 = 24 · 3 · 54 · 193	Discriminant
Eigenvalues	2- 3- 5- -1  0 -4  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1558,-24187]	[a1,a2,a3,a4,a6]
Generators	[-23:3:1]	Generators of the group modulo torsion
j	41850899200/20577	j-invariant
L	4.5115613017441	L(r)(E,1)/r!
Ω	0.75988396545253	Real period
R	1.9790571134798	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	22800cj2 91200bo2 17100bf2 5700d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5700q2

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	-4	0	-	6	-9	-4	8	-3	-4	-6	3	-3	11	-10	-9	11	2	-6	-15	-10

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Quadratic twists for elliptic curve 5700q2

-4	8	-3	5	-19
22800cj2	91200bo2	17100bf2	5700d2	108300be2

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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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