Atkin-Lehner |
5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54145d |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
207273828125 = 58 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ 5 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2711,-50634] |
[a1,a2,a3,a4,a6] |
j |
918079504384/86328125 |
j-invariant |
L |
1.3312037063569 |
L(r)(E,1)/r! |
Ω |
0.66560185140624 |
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 |
54145u1 |
Quadratic twists by: -7 |