Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150bo |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
-1255338000000000000 = -1 · 213 · 37 · 512 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,215208,37751616] |
[a1,a2,a3,a4,a6] |
j |
96772120393031/110208000000 |
j-invariant |
L |
0.72596127258326 |
L(r)(E,1)/r! |
Ω |
0.18148988796972 |
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 |
43050bz1 25830bg1 |
Quadratic twists by: -3 5 |