Cremona's table of elliptic curves

11152 = 2⁴ · 17 · 41

Field	Data	Notes
Atkin-Lehner	2+ 17+ 41-	Signs for the Atkin-Lehner involutions
Class	11152d	Isogeny class
Conductor	11152	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	448	Modular degree for the optimal curve
Δ	11152 = 24 · 17 · 41	Discriminant
Eigenvalues	2+ -1  0 -3  0 -4 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-8,-5]	[a1,a2,a3,a4,a6]
Generators	[-1:1:1] [15:55:1]	Generators of the group modulo torsion
j	4000000/697	j-invariant
L	5.0135252821233	L(r)(E,1)/r!
Ω	2.8434147347441	Real period
R	1.763205775388	Regulator
r	2	Rank of the group of rational points
S	0.99999999999986	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5576g1 44608bf1 100368u1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 11152d1

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	0	-3	0	-4	+	0	-4	-5	-6	-10	-	7	-4	-12	-1	-6	-8	3	12	-1	1	0	2

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Quadratic twists for elliptic curve 11152d1

-4	8	-3
5576g1	44608bf1	100368u1

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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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