Atkin-Lehner |
2- 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
57420s |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
480710823120 = 24 · 310 · 5 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,-20131] |
[a1,a2,a3,a4,a6] |
j |
97152876544/41213205 |
j-invariant |
L |
1.4529060073564 |
L(r)(E,1)/r! |
Ω |
0.72645300480563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19140b1 |
Quadratic twists by: -3 |