Atkin-Lehner |
2+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22984c |
Isogeny class |
Conductor |
22984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
290149142608 = 24 · 137 · 172 |
Discriminant |
Eigenvalues |
2+ 0 0 2 -6 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1690,-6591] |
[a1,a2,a3,a4,a6] |
j |
6912000/3757 |
j-invariant |
L |
1.5885460605415 |
L(r)(E,1)/r! |
Ω |
0.79427303027075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45968c1 1768c1 |
Quadratic twists by: -4 13 |