Atkin-Lehner |
17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
47753h |
Isogeny class |
Conductor |
47753 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202176 |
Modular degree for the optimal curve |
Δ |
19970089377229 = 17 · 537 |
Discriminant |
Eigenvalues |
2 1 -3 2 0 -7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12172,-474123] |
[a1,a2,a3,a4,a6] |
j |
8998912/901 |
j-invariant |
L |
1.8298193026014 |
L(r)(E,1)/r! |
Ω |
0.4574548256802 |
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 |
901f1 |
Quadratic twists by: 53 |