Atkin-Lehner |
2- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
109330w |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7067648 |
Modular degree for the optimal curve |
Δ |
1885928976862970000 = 24 · 54 · 13 · 299 |
Discriminant |
Eigenvalues |
2- 2 5- -4 4 13+ 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4160865,3264405647] |
[a1,a2,a3,a4,a6] |
j |
549152055269/130000 |
j-invariant |
L |
8.213450181142 |
L(r)(E,1)/r! |
Ω |
0.25667030106178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109330k1 |
Quadratic twists by: 29 |