Atkin-Lehner |
2+ 3- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238bd |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-2210356646784 = -1 · 27 · 36 · 113 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15288,734912] |
[a1,a2,a3,a4,a6] |
j |
-542080999521153/3032039296 |
j-invariant |
L |
3.3056888538971 |
L(r)(E,1)/r! |
Ω |
0.82642219732911 |
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 |
10582l1 |
Quadratic twists by: -3 |