Atkin-Lehner |
2- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
47200t |
Isogeny class |
Conductor |
47200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5472 |
Modular degree for the optimal curve |
Δ |
-755200 = -1 · 29 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -4 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48,152] |
[a1,a2,a3,a4,a6] |
j |
-975560/59 |
j-invariant |
L |
2.8017994940337 |
L(r)(E,1)/r! |
Ω |
2.8017994941646 |
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 |
47200w1 94400cy1 47200p1 |
Quadratic twists by: -4 8 5 |