Cremona's table of elliptic curves

11020 = 2² · 5 · 19 · 29

Field	Data	Notes
Atkin-Lehner	2- 5- 19+ 29+	Signs for the Atkin-Lehner involutions
Class	11020d	Isogeny class
Conductor	11020	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	3526400 = 28 · 52 · 19 · 29	Discriminant
Eigenvalues	2- -2 5- -2 -4 -4  4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2940,60388]	[a1,a2,a3,a4,a6]
Generators	[32:10:1]	Generators of the group modulo torsion
j	10981797946576/13775	j-invariant
L	2.5534573023232	L(r)(E,1)/r!
Ω	2.1149662196904	Real period
R	0.80488513356242	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	44080s2 99180h2 55100a2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11020d2

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

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Quadratic twists for elliptic curve 11020d2

-4	-3	5
44080s2	99180h2	55100a2

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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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