Atkin-Lehner |
2- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
88816s |
Isogeny class |
Conductor |
88816 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-9212428005604096 = -1 · 28 · 7 · 135 · 614 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 0 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68437,8318121] |
[a1,a2,a3,a4,a6] |
Generators |
[240:2379:1] |
Generators of the group modulo torsion |
j |
-138472324750901248/35986046896891 |
j-invariant |
L |
8.1348645985897 |
L(r)(E,1)/r! |
Ω |
0.39037480618061 |
Real period |
R |
0.52096501041275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22204b1 |
Quadratic twists by: -4 |