Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448i |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-22480035353964144 = -1 · 24 · 311 · 118 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- 6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,444,-7213527] |
[a1,a2,a3,a4,a6] |
j |
2816/6554439 |
j-invariant |
L |
3.8484896474511 |
L(r)(E,1)/r! |
Ω |
0.17493134943935 |
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 |
107448z1 |
Quadratic twists by: -11 |