Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11600bb |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-593920000 = -1 · 215 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- -2 6 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,192,512] |
[a1,a2,a3,a4,a6] |
Generators |
[2:30:1] |
Generators of the group modulo torsion |
j |
304175/232 |
j-invariant |
L |
6.4366159326878 |
L(r)(E,1)/r! |
Ω |
1.0446058868661 |
Real period |
R |
1.0269608237926 |
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 |
1450i1 46400cr1 104400fy1 11600v1 |
Quadratic twists by: -4 8 -3 5 |