Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53900w |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
343748165868800 = 28 · 52 · 79 · 113 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61413,-5810057] |
[a1,a2,a3,a4,a6] |
j |
34020720640/456533 |
j-invariant |
L |
1.8211168847537 |
L(r)(E,1)/r! |
Ω |
0.30351948078416 |
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 |
53900bj1 7700e1 |
Quadratic twists by: 5 -7 |