Atkin-Lehner |
3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57477p |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
1278039087297 = 34 · 79 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-137054,19517763] |
[a1,a2,a3,a4,a6] |
j |
2419974644672593/10863153 |
j-invariant |
L |
0.75907967690047 |
L(r)(E,1)/r! |
Ω |
0.75907967663388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8211a1 |
Quadratic twists by: -7 |