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	13520be	Isogeny class
Conductor	13520	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	-5.2206766144E+20	Discriminant
Eigenvalues	2- -2 5- -4 -2 13+  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2057800,1580272500]	[a1,a2,a3,a4,a6]
Generators	[-100:42250:1]	Generators of the group modulo torsion
j	-48743122863889/26406250000	j-invariant
L	2.6227625206793	L(r)(E,1)/r!
Ω	0.15320844909905	Real period
R	0.85594578370276	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1690e2 54080ci2 121680ea2 67600by2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13520be2

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

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Quadratic twists for elliptic curve 13520be2

-4	8	-3	5	13
1690e2	54080ci2	121680ea2	67600by2	1040e2

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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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