Atkin-Lehner |
3+ 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
112749l |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-2676614255891584827 = -1 · 3 · 711 · 133 · 593 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 4 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,124508,-76824112] |
[a1,a2,a3,a4,a6] |
j |
1814374882538063/22750845786123 |
j-invariant |
L |
2.2603504040421 |
L(r)(E,1)/r! |
Ω |
0.12557501262324 |
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 |
16107c1 |
Quadratic twists by: -7 |