Atkin-Lehner |
2- 3- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814bg |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
17233920 |
Modular degree for the optimal curve |
Δ |
-6.5490347454977E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 3 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-138592508,-627974673217] |
[a1,a2,a3,a4,a6] |
j |
-403845681041272916383948921/8983586756512682496 |
j-invariant |
L |
1.5840414511978 |
L(r)(E,1)/r! |
Ω |
0.022000575485211 |
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 |
28938d1 |
Quadratic twists by: -3 |