Atkin-Lehner |
2- 3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300bl |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
159360 |
Modular degree for the optimal curve |
Δ |
-843093750000 = -1 · 24 · 3 · 59 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4458,-124287] |
[a1,a2,a3,a4,a6] |
j |
-313611008/26979 |
j-invariant |
L |
3.4884219300859 |
L(r)(E,1)/r! |
Ω |
0.29070179797581 |
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 |
117300k1 |
Quadratic twists by: 5 |