Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
88360f |
Isogeny class |
Conductor |
88360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
883200 |
Modular degree for the optimal curve |
Δ |
-405298496370400000 = -1 · 28 · 55 · 477 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-232681,-53034981] |
[a1,a2,a3,a4,a6] |
Generators |
[595:4418:1] [1227:38862:1] |
Generators of the group modulo torsion |
j |
-504871936/146875 |
j-invariant |
L |
6.3343607302774 |
L(r)(E,1)/r! |
Ω |
0.10707838241377 |
Real period |
R |
3.6972686428919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1880b1 |
Quadratic twists by: -47 |