Atkin-Lehner |
2- 3- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62730bb |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1138176 |
Modular degree for the optimal curve |
Δ |
74917700506307520 = 26 · 319 · 5 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 1 -7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-447557,-114377731] |
[a1,a2,a3,a4,a6] |
j |
13600044717364691209/102767764754880 |
j-invariant |
L |
2.2159840963013 |
L(r)(E,1)/r! |
Ω |
0.18466534151439 |
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 |
20910i1 |
Quadratic twists by: -3 |