Cremona's table of elliptic curves

13520 = 2⁴ · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 5- 13+	Signs for the Atkin-Lehner involutions
Class	13520w	Isogeny class
Conductor	13520	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-2.0098017024583E+19	Discriminant
Eigenvalues	2-  0 5-  3  3 13+ -4 -7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1230827,568122906]	[a1,a2,a3,a4,a6]
Generators	[455:10114:1]	Generators of the group modulo torsion
j	-1762712152495281/171798691840	j-invariant
L	5.4661546002487	L(r)(E,1)/r!
Ω	0.21108830617249	Real period
R	4.3158514236391	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	1690g2 54080by2 121680dv2 67600bi2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13520w2

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	-	3	3	+	-4	-7	4	-8	10	3	-2	-6	1	-9	4	-14	-4	-6	4	-10	0	1	16

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Quadratic twists for elliptic curve 13520w2

-4	8	-3	5	13
1690g2	54080by2	121680dv2	67600bi2	13520o2

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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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