Cremona's table of elliptic curves

520 = 2³ · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 13-	Signs for the Atkin-Lehner involutions
Class	520b	Isogeny class
Conductor	520	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4326400 = -1 · 210 · 52 · 132	Discriminant
Eigenvalues	2-  2 5-  0  2 13-  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,0,-100]	[a1,a2,a3,a4,a6]
j	-4/4225	j-invariant
L	2.2507080524616	L(r)(E,1)/r!
Ω	1.1253540262308	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	1040b2 4160c2 4680e2 2600a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 520b2

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	2	-	2	2	2	-6	2	-6	2	6	-8	-2	6	-14	0	10	-2	-4	12	-6	2

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Quadratic twists for elliptic curve 520b2

-4	8	-3	5	-7	-11	13
1040b2	4160c2	4680e2	2600a2	25480l2	62920k2	6760c2

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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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