Atkin-Lehner |
3+ 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675l |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8973256728515625 = 312 · 510 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-240025,44932000] |
[a1,a2,a3,a4,a6] |
Generators |
[3958:53209:8] |
Generators of the group modulo torsion |
j |
97875940517340049/574288430625 |
j-invariant |
L |
6.1497486950807 |
L(r)(E,1)/r! |
Ω |
0.41351999823582 |
Real period |
R |
7.4358540133821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935m4 |
Quadratic twists by: 5 |