Atkin-Lehner |
2- 3- 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
62730bj |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
2700320808330000 = 24 · 318 · 54 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72932,7175031] |
[a1,a2,a3,a4,a6] |
j |
58849797268457209/3704143770000 |
j-invariant |
L |
7.1482029757169 |
L(r)(E,1)/r! |
Ω |
0.44676268637885 |
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 |
20910b1 |
Quadratic twists by: -3 |