Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475w |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
3538661328125 = 58 · 77 · 11 |
Discriminant |
Eigenvalues |
2 0 5- 7- 11- 3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6125,160781] |
[a1,a2,a3,a4,a6] |
j |
552960/77 |
j-invariant |
L |
4.5587416778476 |
L(r)(E,1)/r! |
Ω |
0.75979027964126 |
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 |
121275gf1 13475k1 1925j1 |
Quadratic twists by: -3 5 -7 |