Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600bp |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-2.6261675072E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-291408,-253786688] |
[a1,a2,a3,a4,a6] |
j |
-1771561/17000 |
j-invariant |
L |
0.71692381498924 |
L(r)(E,1)/r! |
Ω |
0.08961553569346 |
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 |
14450s1 23120q1 6800s1 |
Quadratic twists by: -4 5 17 |