Atkin-Lehner |
3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57477q |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-138002277 = -1 · 3 · 76 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 5 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-981,-11922] |
[a1,a2,a3,a4,a6] |
j |
-887503681/1173 |
j-invariant |
L |
3.4119729332683 |
L(r)(E,1)/r! |
Ω |
0.42649661653435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1173a1 |
Quadratic twists by: -7 |