Atkin-Lehner |
3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47685q |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
14968754710833825 = 33 · 52 · 11 · 1710 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-72545,4674912] |
[a1,a2,a3,a4,a6] |
j |
1749254553649/620143425 |
j-invariant |
L |
2.1691163484608 |
L(r)(E,1)/r! |
Ω |
0.36151939134911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2805a1 |
Quadratic twists by: 17 |