Atkin-Lehner |
3- 7- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99351f |
Isogeny class |
Conductor |
99351 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
506988153 = 38 · 72 · 19 · 83 |
Discriminant |
Eigenvalues |
1 3- 0 7- 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2682,-52785] |
[a1,a2,a3,a4,a6] |
j |
2927275422625/695457 |
j-invariant |
L |
2.6536484981526 |
L(r)(E,1)/r! |
Ω |
0.66341221368665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33117d1 |
Quadratic twists by: -3 |