Atkin-Lehner |
2- 3- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76590bo |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-20380008491100 = -1 · 22 · 39 · 52 · 234 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15683,790431] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1092:1] |
Generators of the group modulo torsion |
j |
-585137119743721/27956115900 |
j-invariant |
L |
10.161262644485 |
L(r)(E,1)/r! |
Ω |
0.67598562789558 |
Real period |
R |
1.8789716498003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530k1 |
Quadratic twists by: -3 |