Atkin-Lehner |
3+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
83325b |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
3287431640625 = 3 · 510 · 11 · 1012 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9900,-373125] |
[a1,a2,a3,a4,a6] |
Generators |
[58862650:298067475:456533] |
Generators of the group modulo torsion |
j |
6868751617729/210395625 |
j-invariant |
L |
5.9010584814017 |
L(r)(E,1)/r! |
Ω |
0.47951164183503 |
Real period |
R |
12.306392521249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16665c1 |
Quadratic twists by: 5 |