Atkin-Lehner |
3+ 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
20235b |
Isogeny class |
Conductor |
20235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
31314914540625 = 3 · 55 · 196 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16153,-749672] |
[a1,a2,a3,a4,a6] |
j |
466149583499568409/31314914540625 |
j-invariant |
L |
0.85053626982264 |
L(r)(E,1)/r! |
Ω |
0.42526813491133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60705j1 101175k1 |
Quadratic twists by: -3 5 |