Cremona's table of elliptic curves

Curve 56070l3

56070 = 2 · 32 · 5 · 7 · 89



Data for elliptic curve 56070l3

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 7- 89+ Signs for the Atkin-Lehner involutions
Class 56070l Isogeny class
Conductor 56070 Conductor
∏ cp 256 Product of Tamagawa factors cp
Δ -1.9405671914577E+21 Discriminant
Eigenvalues 2+ 3- 5+ 7-  4 -2 -2  4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,2763900,1167247300] [a1,a2,a3,a4,a6]
Generators [-142:27854:1] Generators of the group modulo torsion
j 3203045242667802302399/2661957738625040100 j-invariant
L 4.8808958907743 L(r)(E,1)/r!
Ω 0.095608916024071 Real period
R 0.79766617450442 Regulator
r 1 Rank of the group of rational points
S 0.99999999999887 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 18690m4 Quadratic twists by: -3


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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