Atkin-Lehner |
11- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
66671a |
Isogeny class |
Conductor |
66671 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-18546472109 = -1 · 116 · 192 · 29 |
Discriminant |
Eigenvalues |
1 1 -1 -2 11- 5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1334,-19967] |
[a1,a2,a3,a4,a6] |
j |
-148035889/10469 |
j-invariant |
L |
0.78683590515639 |
L(r)(E,1)/r! |
Ω |
0.39341795436048 |
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 |
551b1 |
Quadratic twists by: -11 |