Atkin-Lehner |
3- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94809o |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-73111675923 = -1 · 34 · 11 · 136 · 17 |
Discriminant |
Eigenvalues |
2 3- 0 3 11+ 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1408,23677] |
[a1,a2,a3,a4,a6] |
j |
-64000000/15147 |
j-invariant |
L |
8.3330546092699 |
L(r)(E,1)/r! |
Ω |
1.0416318506502 |
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 |
561c1 |
Quadratic twists by: 13 |