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	11020b	Isogeny class
Conductor	11020	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	705280 = 28 · 5 · 19 · 29	Discriminant
Eigenvalues	2- -1 5+  1  1 -2  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-116,520]	[a1,a2,a3,a4,a6]
Generators	[6:2:1]	Generators of the group modulo torsion
j	680136784/2755	j-invariant
L	3.4012657483595	L(r)(E,1)/r!
Ω	2.8727482733057	Real period
R	0.39465875238298	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	44080m1 99180u1 55100d1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11020b1

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
-	-1	+	1	1	-2	3	+	1	-	-4	-6	5	-8	6	9	9	2	-10	-7	6	8	-4	10	-16

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Quadratic twists for elliptic curve 11020b1

-4	-3	5
44080m1	99180u1	55100d1

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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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