Atkin-Lehner |
2- 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502bj |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
46171944 = 23 · 37 · 7 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 5 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-842,-9183] |
[a1,a2,a3,a4,a6] |
j |
90458382169/63336 |
j-invariant |
L |
5.3184041725835 |
L(r)(E,1)/r! |
Ω |
0.88640069546757 |
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 |
15834b1 |
Quadratic twists by: -3 |