Atkin-Lehner |
2- 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394cu |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-61706378122159848 = -1 · 23 · 3 · 73 · 1110 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14336,11934440] |
[a1,a2,a3,a4,a6] |
j |
12562583/2379048 |
j-invariant |
L |
4.8669105364547 |
L(r)(E,1)/r! |
Ω |
0.27038391509427 |
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 |
86394v1 |
Quadratic twists by: -11 |