Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700u |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
5176166771283200 = 28 · 52 · 73 · 119 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-151653,-22415743] |
[a1,a2,a3,a4,a6] |
j |
34020720640/456533 |
j-invariant |
L |
4.3582461392021 |
L(r)(E,1)/r! |
Ω |
0.24212478497825 |
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 |
84700bc1 7700e1 |
Quadratic twists by: 5 -11 |