Cremona's table of elliptic curves

5720 = 2³ · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 11- 13+	Signs for the Atkin-Lehner involutions
Class	5720c	Isogeny class
Conductor	5720	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	13823524000000 = 28 · 56 · 112 · 134	Discriminant
Eigenvalues	2+  0 5-  0 11- 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7687,187866]	[a1,a2,a3,a4,a6]
Generators	[-73:600:1]	Generators of the group modulo torsion
j	196225023615696/53998140625	j-invariant
L	4.0432467644708	L(r)(E,1)/r!
Ω	0.65795710567487	Real period
R	2.0483841725638	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	11440e2 45760c2 51480bi2 28600q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5720c2

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
+	0	-	0	-	+	-2	4	-4	6	0	-2	-6	-4	-12	6	12	6	8	0	-10	-8	4	-6	2

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Quadratic twists for elliptic curve 5720c2

-4	8	-3	5	-11	13
11440e2	45760c2	51480bi2	28600q2	62920y2	74360l2

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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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