Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79764i |
Isogeny class |
Conductor |
79764 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
169673636285883648 = 28 · 35 · 179 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -6 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181877,-22388937] |
[a1,a2,a3,a4,a6] |
Generators |
[2017:-88434:1] [-263:2706:1] |
Generators of the group modulo torsion |
j |
107677745152/27458757 |
j-invariant |
L |
13.289508841204 |
L(r)(E,1)/r! |
Ω |
0.23552863771268 |
Real period |
R |
0.94040290035283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4692b1 |
Quadratic twists by: 17 |