Atkin-Lehner |
2- 3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300bh |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-256894038000 = -1 · 24 · 33 · 53 · 17 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1422,13473] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:69:1] |
Generators of the group modulo torsion |
j |
158886522112/128447019 |
j-invariant |
L |
8.1032840794112 |
L(r)(E,1)/r! |
Ω |
0.63435129462081 |
Real period |
R |
0.17741843149924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117300p1 |
Quadratic twists by: 5 |