Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23805j |
Isogeny class |
Conductor |
23805 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
156184605 = 310 · 5 · 232 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 1 6 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-138,-167] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:4:1] |
Generators of the group modulo torsion |
j |
753664/405 |
j-invariant |
L |
4.8044040297696 |
L(r)(E,1)/r! |
Ω |
1.4825466875972 |
Real period |
R |
1.6203213261217 |
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 |
7935e1 119025t1 23805r1 |
Quadratic twists by: -3 5 -23 |