Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9594k |
Isogeny class |
Conductor |
9594 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
163214058848256 = 226 · 33 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 -1 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22493,-1138075] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:424:1] |
Generators of the group modulo torsion |
j |
46610525182518387/6044965142528 |
j-invariant |
L |
6.6002747137952 |
L(r)(E,1)/r! |
Ω |
0.39317538309417 |
Real period |
R |
0.32282885790506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752bf1 9594a1 124722b1 |
Quadratic twists by: -4 -3 13 |