Atkin-Lehner |
2- 3- 13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582bo |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
3171248397877248 = 222 · 36 · 132 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-117275,-15189429] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:410:1] |
Generators of the group modulo torsion |
j |
244685952397419625/4350134976512 |
j-invariant |
L |
10.246759821499 |
L(r)(E,1)/r! |
Ω |
0.2582658903022 |
Real period |
R |
0.90170988014348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398f1 |
Quadratic twists by: -3 |