Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766bi |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
153403010112 = 26 · 3 · 117 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3088,-64591] |
[a1,a2,a3,a4,a6] |
j |
1838265625/86592 |
j-invariant |
L |
3.8538653439232 |
L(r)(E,1)/r! |
Ω |
0.64231089065392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89298p1 2706a1 |
Quadratic twists by: -3 -11 |