Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
109330o |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
164640 |
Modular degree for the optimal curve |
Δ |
-34292885120 = -1 · 27 · 5 · 133 · 293 |
Discriminant |
Eigenvalues |
2+ 3 5- -2 4 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,611,-6907] |
[a1,a2,a3,a4,a6] |
j |
1033364331/1406080 |
j-invariant |
L |
3.7158538498492 |
L(r)(E,1)/r! |
Ω |
0.61930895395871 |
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 |
109330bb1 |
Quadratic twists by: 29 |