Cremona's table of elliptic curves

Curve 20720l2

20720 = 24 · 5 · 7 · 37



Data for elliptic curve 20720l2

Field Data Notes
Atkin-Lehner 2- 5+ 7- 37+ Signs for the Atkin-Lehner involutions
Class 20720l Isogeny class
Conductor 20720 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 5801600000000 = 213 · 58 · 72 · 37 Discriminant
Eigenvalues 2- -2 5+ 7-  4  6  0  0 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-4856,-61100] [a1,a2,a3,a4,a6]
Generators [-41:266:1] Generators of the group modulo torsion
j 3092354182009/1416406250 j-invariant
L 4.007368509697 L(r)(E,1)/r!
Ω 0.59735282018428 Real period
R 3.354272696378 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 2590a2 82880bv2 103600bk2 Quadratic twists by: -4 8 5


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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