Atkin-Lehner |
2- 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150bj |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-11118800 = -1 · 24 · 52 · 7 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-133,-623] |
[a1,a2,a3,a4,a6] |
j |
-10412204665/444752 |
j-invariant |
L |
5.6091301342928 |
L(r)(E,1)/r! |
Ω |
0.70114126922596 |
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 |
73150v1 |
Quadratic twists by: 5 |