Atkin-Lehner |
2- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
101840h |
Isogeny class |
Conductor |
101840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
-8686035440 = -1 · 24 · 5 · 192 · 673 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,134,-4489] |
[a1,a2,a3,a4,a6] |
j |
16507187456/542877215 |
j-invariant |
L |
1.2567737712538 |
L(r)(E,1)/r! |
Ω |
0.62838682927839 |
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 |
25460b1 |
Quadratic twists by: -4 |