Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725f |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
3345697265625 = 32 · 59 · 114 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-111523251,453301690273] |
[a1,a2,a3,a4,a6] |
Generators |
[3155464:3001587:512] |
Generators of the group modulo torsion |
j |
9817478153357586761106721/214124625 |
j-invariant |
L |
6.4373199960612 |
L(r)(E,1)/r! |
Ω |
0.28366370645036 |
Real period |
R |
5.6733729497993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32175i1 2145e1 117975bz1 |
Quadratic twists by: -3 5 -11 |