Atkin-Lehner |
2- 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
108560k |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-138956800000 = -1 · 215 · 55 · 23 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 5 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,784,16084] |
[a1,a2,a3,a4,a6] |
j |
12994449551/33925000 |
j-invariant |
L |
1.4495670066294 |
L(r)(E,1)/r! |
Ω |
0.72478362961839 |
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 |
13570d1 |
Quadratic twists by: -4 |