Atkin-Lehner |
2+ 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59878c |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16257024 |
Modular degree for the optimal curve |
Δ |
-3.052880307428E+25 |
Discriminant |
Eigenvalues |
2+ -1 3 7- -3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11132531,266215053217] |
[a1,a2,a3,a4,a6] |
j |
-1296932198474723107753/259490544537392378756 |
j-invariant |
L |
0.86248360883476 |
L(r)(E,1)/r! |
Ω |
0.053905225975067 |
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 |
8554i1 |
Quadratic twists by: -7 |