Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766bs |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-12077725792137984 = -1 · 28 · 310 · 117 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- 2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57901,-7535791] |
[a1,a2,a3,a4,a6] |
Generators |
[362:-4537:1] |
Generators of the group modulo torsion |
j |
-12117869279209/6817561344 |
j-invariant |
L |
8.8311251513266 |
L(r)(E,1)/r! |
Ω |
0.14997580673513 |
Real period |
R |
0.18401145290477 |
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 |
89298r1 2706h1 |
Quadratic twists by: -3 -11 |