Cremona's table of elliptic curves

11680 = 2⁵ · 5 · 73

Field	Data	Notes
Atkin-Lehner	2+ 5- 73-	Signs for the Atkin-Lehner involutions
Class	11680d	Isogeny class
Conductor	11680	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	4800	Modular degree for the optimal curve
Δ	116800000 = 29 · 55 · 73	Discriminant
Eigenvalues	2+ -1 5-  1 -5  6 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1000,12500]	[a1,a2,a3,a4,a6]
Generators	[20:10:1]	Generators of the group modulo torsion
j	216216072008/228125	j-invariant
L	4.0034589106632	L(r)(E,1)/r!
Ω	1.8593642015623	Real period
R	0.21531332631334	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	11680c1 23360s1 105120v1 58400m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11680d1

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	-5	6	-2	2	4	-7	4	-11	-3	8	-3	4	-11	4	7	-9	-	9	14	-11	-8

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Quadratic twists for elliptic curve 11680d1

-4	8	-3	5
11680c1	23360s1	105120v1	58400m1

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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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