Atkin-Lehner |
3- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195u |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
1051343333325 = 39 · 52 · 31 · 413 |
Discriminant |
Eigenvalues |
0 3- 5- 2 0 5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3432,-59625] |
[a1,a2,a3,a4,a6] |
j |
6132506558464/1442171925 |
j-invariant |
L |
2.5374312647902 |
L(r)(E,1)/r! |
Ω |
0.63435781583478 |
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 |
19065j1 |
Quadratic twists by: -3 |