Atkin-Lehner |
2+ 3- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29574d |
Isogeny class |
Conductor |
29574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-898617026543616 = -1 · 219 · 39 · 31 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -1 1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33309,2756997] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-759:1] |
Generators of the group modulo torsion |
j |
-5606454494090449/1232670818304 |
j-invariant |
L |
4.2892001276036 |
L(r)(E,1)/r! |
Ω |
0.47625901976497 |
Real period |
R |
1.1257529909145 |
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 |
9858f1 |
Quadratic twists by: -3 |