Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9594g |
Isogeny class |
Conductor |
9594 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11760 |
Modular degree for the optimal curve |
Δ |
-668840260608 = -1 · 210 · 36 · 13 · 413 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6828,222416] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:676:1] |
Generators of the group modulo torsion |
j |
-48296148523713/917476352 |
j-invariant |
L |
2.5330835772886 |
L(r)(E,1)/r! |
Ω |
0.90884668267427 |
Real period |
R |
0.46452344962355 |
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 |
76752bz1 1066d1 124722bp1 |
Quadratic twists by: -4 -3 13 |