Atkin-Lehner |
5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
111925o |
Isogeny class |
Conductor |
111925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
5120918515625 = 57 · 116 · 37 |
Discriminant |
Eigenvalues |
1 2 5+ -2 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10650,404375] |
[a1,a2,a3,a4,a6] |
Generators |
[598:1153:8] |
Generators of the group modulo torsion |
j |
4826809/185 |
j-invariant |
L |
9.705032678199 |
L(r)(E,1)/r! |
Ω |
0.76022682365659 |
Real period |
R |
3.1914924427884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22385c1 925c1 |
Quadratic twists by: 5 -11 |