Atkin-Lehner |
11- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
66671c |
Isogeny class |
Conductor |
66671 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-28307773219 = -1 · 116 · 19 · 292 |
Discriminant |
Eigenvalues |
2 -2 -1 1 11- -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14076,-647553] |
[a1,a2,a3,a4,a6] |
j |
-174115016704/15979 |
j-invariant |
L |
0.4383033435619 |
L(r)(E,1)/r! |
Ω |
0.21915166882847 |
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 |
551d1 |
Quadratic twists by: -11 |