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	5700b	Isogeny class
Conductor	5700	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	153900000000 = 28 · 34 · 58 · 19	Discriminant
Eigenvalues	2- 3+ 5+  2  0  4  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2908,58312]	[a1,a2,a3,a4,a6]
j	680136784/38475	j-invariant
L	2.021923360376	L(r)(E,1)/r!
Ω	1.010961680188	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22800dg2 91200dt2 17100p2 1140b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5700b2

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
-	+	+	2	0	4	2	+	6	-2	0	4	2	-2	6	12	-4	6	-12	0	2	0	6	-14	-8

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Quadratic twists for elliptic curve 5700b2

-4	8	-3	5	-19
22800dg2	91200dt2	17100p2	1140b2	108300cb2

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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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