Atkin-Lehner |
2+ 3+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950q |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115776 |
Modular degree for the optimal curve |
Δ |
351759813750 = 2 · 39 · 54 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2000,18450] |
[a1,a2,a3,a4,a6] |
j |
1416683808025/562815702 |
j-invariant |
L |
1.7413630971003 |
L(r)(E,1)/r! |
Ω |
0.87068154610075 |
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 |
73950cw1 |
Quadratic twists by: 5 |