Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290di |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-25109315000 = -1 · 23 · 54 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 11- 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,582,-5519] |
[a1,a2,a3,a4,a6] |
j |
4348377/5000 |
j-invariant |
L |
7.7118251701307 |
L(r)(E,1)/r! |
Ω |
0.6426520973542 |
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 |
59290es1 59290bb1 |
Quadratic twists by: -7 -11 |