Atkin-Lehner |
2+ 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60350d |
Isogeny class |
Conductor |
60350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
256487500000 = 25 · 58 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 0 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1776,15198] |
[a1,a2,a3,a4,a6] |
j |
39616946929/16415200 |
j-invariant |
L |
3.5618928417901 |
L(r)(E,1)/r! |
Ω |
0.8904732110294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12070a1 |
Quadratic twists by: 5 |