Atkin-Lehner |
3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825c |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-695165308857421875 = -1 · 315 · 510 · 112 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 11+ 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,220417,4692818] |
[a1,a2,a3,a4,a6] |
Generators |
[14869980:5128756994:125] |
Generators of the group modulo torsion |
j |
121271000268800/71184927627 |
j-invariant |
L |
4.761072173671 |
L(r)(E,1)/r! |
Ω |
0.17365663261995 |
Real period |
R |
13.708293492282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475bs1 33825z1 |
Quadratic twists by: -3 5 |