Atkin-Lehner |
2- 3- 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258bj |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
203904 |
Modular degree for the optimal curve |
Δ |
946419893496 = 23 · 312 · 73 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-283514,58080876] |
[a1,a2,a3,a4,a6] |
j |
2520271543906294317217/946419893496 |
j-invariant |
L |
8.5757299591964 |
L(r)(E,1)/r! |
Ω |
0.7146441632664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81774bh1 |
Quadratic twists by: -3 |