Atkin-Lehner |
3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825o |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
936000 |
Modular degree for the optimal curve |
Δ |
2642578125 = 3 · 59 · 11 · 41 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 11- 6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4802458,-4049224557] |
[a1,a2,a3,a4,a6] |
j |
6271688643866537984/1353 |
j-invariant |
L |
5.0992189211341 |
L(r)(E,1)/r! |
Ω |
0.10198437842273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475cf1 33825be1 |
Quadratic twists by: -3 5 |