Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
119520v |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1633689000000 = 26 · 39 · 56 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26517,1660876] |
[a1,a2,a3,a4,a6] |
Generators |
[47:720:1] |
Generators of the group modulo torsion |
j |
44196652398016/35015625 |
j-invariant |
L |
8.7473137350612 |
L(r)(E,1)/r! |
Ω |
0.83650164890372 |
Real period |
R |
1.7428365171307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014821 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520j1 39840e1 |
Quadratic twists by: -4 -3 |