Atkin-Lehner |
3- 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129675v |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
243140625 = 32 · 56 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8113,280592] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-13:1] |
Generators of the group modulo torsion |
j |
3779648905033/15561 |
j-invariant |
L |
5.0207269689621 |
L(r)(E,1)/r! |
Ω |
1.5458390450966 |
Real period |
R |
1.6239487782904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000022213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187c1 |
Quadratic twists by: 5 |