Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440bq |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
503046234915840 = 210 · 312 · 5 · 75 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2772507,1776875546] |
[a1,a2,a3,a4,a6] |
Generators |
[475:23814:1] |
Generators of the group modulo torsion |
j |
3157287870431675236/673876665 |
j-invariant |
L |
6.9417851551471 |
L(r)(E,1)/r! |
Ω |
0.41464519964781 |
Real period |
R |
0.83707530692103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720n1 18480e1 |
Quadratic twists by: -4 -3 |