Cremona's table of elliptic curves

Curve 28710l3

28710 = 2 · 32 · 5 · 11 · 29



Data for elliptic curve 28710l3

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 11- 29+ Signs for the Atkin-Lehner involutions
Class 28710l Isogeny class
Conductor 28710 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ -1.0280904875251E+21 Discriminant
Eigenvalues 2+ 3- 5+ -4 11-  6 -2 -4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-10314720,12846269200] [a1,a2,a3,a4,a6]
Generators [1445:-31660:1] Generators of the group modulo torsion
j -166482480211191583096321/1410275017181250000 j-invariant
L 3.1301125403648 L(r)(E,1)/r!
Ω 0.15659189754391 Real period
R 1.2493113426762 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 9570u4 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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