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	5700d	Isogeny class
Conductor	5700	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	3215156250000 = 24 · 3 · 510 · 193	Discriminant
Eigenvalues	2- 3+ 5+  1  0  4  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-38958,-2945463]	[a1,a2,a3,a4,a6]
Generators	[-112:19:1]	Generators of the group modulo torsion
j	41850899200/20577	j-invariant
L	3.5538591772897	L(r)(E,1)/r!
Ω	0.33983044035279	Real period
R	1.1619713687542	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	22800cs2 91200cp2 17100u2 5700q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5700d2

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 5700d2

-4	8	-3	5	-19
22800cs2	91200cp2	17100u2	5700q2	108300bv2

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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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