Atkin-Lehner |
2- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
62050t |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
37106892800000000 = 220 · 58 · 17 · 732 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1171063,-487783383] |
[a1,a2,a3,a4,a6] |
j |
11366964089457630121/2374841139200 |
j-invariant |
L |
2.9026182944772 |
L(r)(E,1)/r! |
Ω |
0.14513091477429 |
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 |
12410i1 |
Quadratic twists by: 5 |