Atkin-Lehner |
2+ 11- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
128656j |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
7482240 |
Modular degree for the optimal curve |
Δ |
-6.4868489700137E+22 |
Discriminant |
Eigenvalues |
2+ 2 -2 -1 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2734551,-12130592395] |
[a1,a2,a3,a4,a6] |
j |
8833680153303448060928/253392537891158587603 |
j-invariant |
L |
2.8763646823518 |
L(r)(E,1)/r! |
Ω |
0.053266026190478 |
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 |
64328i1 |
Quadratic twists by: -4 |