Atkin-Lehner |
5+ 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88825b |
Isogeny class |
Conductor |
88825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-501028515625 = -1 · 58 · 11 · 17 · 193 |
Discriminant |
Eigenvalues |
-1 2 5+ 0 11+ 5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88,-34094] |
[a1,a2,a3,a4,a6] |
j |
-4826809/32065825 |
j-invariant |
L |
2.5374965000752 |
L(r)(E,1)/r! |
Ω |
0.42291609866492 |
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 |
17765a1 |
Quadratic twists by: 5 |