Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29624g |
Isogeny class |
Conductor |
29624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-1300612096 = -1 · 210 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 0 1 7- 0 -1 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,253,782] |
[a1,a2,a3,a4,a6] |
Generators |
[31:196:1] |
Generators of the group modulo torsion |
j |
3306204/2401 |
j-invariant |
L |
5.6804539278395 |
L(r)(E,1)/r! |
Ω |
0.97218391506131 |
Real period |
R |
0.73037285433297 |
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 |
59248a1 29624a1 |
Quadratic twists by: -4 -23 |