Atkin-Lehner |
2- 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
88806s |
Isogeny class |
Conductor |
88806 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-6560276832 = -1 · 25 · 36 · 193 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -5 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,192,-3744] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-186:1] [126:393:8] |
Generators of the group modulo torsion |
j |
114084125/956448 |
j-invariant |
L |
17.260530983424 |
L(r)(E,1)/r! |
Ω |
0.66177915484958 |
Real period |
R |
0.43470017798078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88806a1 |
Quadratic twists by: -19 |