Cremona's table of elliptic curves

20720 = 2⁴ · 5 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 37-	Signs for the Atkin-Lehner involutions
Class	20720q	Isogeny class
Conductor	20720	Conductor
∏ cp	140	Product of Tamagawa factors cp
deg	322560	Modular degree for the optimal curve
Δ	-1.007968765664E+19	Discriminant
Eigenvalues	2-  1 5- 7- -5 -1  1 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,303435,138642275]	[a1,a2,a3,a4,a6]
Generators	[-170:9065:1]	Generators of the group modulo torsion
j	754326479523774464/2460861244296875	j-invariant
L	6.1928388624225	L(r)(E,1)/r!
Ω	0.16199968282495	Real period
R	0.2730533944984	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	1295a1 82880be1 103600bd1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 20720q1

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	-	-	-5	-1	1	-2	6	-1	8	-	0	6	1	-12	8	0	4	0	-10	-11	4	-12	5

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Quadratic twists for elliptic curve 20720q1

-4	8	5
1295a1	82880be1	103600bd1

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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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