Cremona's table of elliptic curves

5920 = 2⁵ · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 5+ 37+	Signs for the Atkin-Lehner involutions
Class	5920i	Isogeny class
Conductor	5920	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	3788800 = 212 · 52 · 37	Discriminant
Eigenvalues	2- -1 5+ -3 -1 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-61,-139]	[a1,a2,a3,a4,a6]
Generators	[-5:4:1] [-4:5:1]	Generators of the group modulo torsion
j	6229504/925	j-invariant
L	3.9805946404968	L(r)(E,1)/r!
Ω	1.7229405269342	Real period
R	0.57758735404241	Regulator
r	2	Rank of the group of rational points
S	0.99999999999984	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5920a1 11840p1 53280r1 29600d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5920i1

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	+	-3	-1	-2	-6	-4	0	-6	-2	+	-5	-12	-3	-9	6	-8	8	5	-3	-4	-9	-10	-12

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Quadratic twists for elliptic curve 5920i1

-4	8	-3	5
5920a1	11840p1	53280r1	29600d1

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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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