Atkin-Lehner |
3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453v |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8880 |
Modular degree for the optimal curve |
Δ |
-117453 = -1 · 3 · 72 · 17 · 47 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6,-15] |
[a1,a2,a3,a4,a6] |
j |
482447/2397 |
j-invariant |
L |
1.6705478654401 |
L(r)(E,1)/r! |
Ω |
1.6705473776093 |
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 |
117453b1 |
Quadratic twists by: -7 |