Atkin-Lehner |
2- 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
127534j |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40512 |
Modular degree for the optimal curve |
Δ |
1402874 = 2 · 113 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 0 -3 5 11+ -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34,-41] |
[a1,a2,a3,a4,a6] |
j |
3176523/1054 |
j-invariant |
L |
4.0688671129475 |
L(r)(E,1)/r! |
Ω |
2.0344333861254 |
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 |
127534b1 |
Quadratic twists by: -11 |