Atkin-Lehner |
2+ 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150bu |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5334528 |
Modular degree for the optimal curve |
Δ |
-3.4469607031512E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 0 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1728558,-181415984] |
[a1,a2,a3,a4,a6] |
j |
1253625721966736975/756534585053772 |
j-invariant |
L |
0.79376035010092 |
L(r)(E,1)/r! |
Ω |
0.099220031387972 |
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 |
43050bm1 129150dn1 |
Quadratic twists by: -3 5 |