Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150cz |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
7077888 |
Modular degree for the optimal curve |
Δ |
6.8330558016E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7345130,-7556332503] |
[a1,a2,a3,a4,a6] |
j |
3847463977937161681/59988418560000 |
j-invariant |
L |
5.8747579142729 |
L(r)(E,1)/r! |
Ω |
0.091793100815018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050g1 25830h1 |
Quadratic twists by: -3 5 |