Atkin-Lehner |
3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111825d |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
77668503398325 = 311 · 52 · 72 · 713 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 3 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2460627,-1485035924] |
[a1,a2,a3,a4,a6] |
j |
90405245485658051545/4261646277 |
j-invariant |
L |
3.8573418930008 |
L(r)(E,1)/r! |
Ω |
0.12054191908169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37275e1 111825t1 |
Quadratic twists by: -3 5 |