Atkin-Lehner |
2- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
117800m |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2300781250000 = 24 · 512 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5950,-160875] |
[a1,a2,a3,a4,a6] |
j |
93182552064/9203125 |
j-invariant |
L |
4.3763474476352 |
L(r)(E,1)/r! |
Ω |
0.54704345088069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23560b1 |
Quadratic twists by: 5 |