Atkin-Lehner |
2+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33872a |
Isogeny class |
Conductor |
33872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-158249984 = -1 · 210 · 29 · 732 |
Discriminant |
Eigenvalues |
2+ -1 -1 2 3 -7 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,-608] |
[a1,a2,a3,a4,a6] |
Generators |
[14:34:1] [29:146:1] |
Generators of the group modulo torsion |
j |
-19307236/154541 |
j-invariant |
L |
7.229065229246 |
L(r)(E,1)/r! |
Ω |
0.76765764423151 |
Real period |
R |
2.3542608100006 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16936a1 |
Quadratic twists by: -4 |