Atkin-Lehner |
2+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
23128l |
Isogeny class |
Conductor |
23128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-2960384 = -1 · 210 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 4 2 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,92] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] |
Generators of the group modulo torsion |
j |
-9604/59 |
j-invariant |
L |
3.785982982123 |
L(r)(E,1)/r! |
Ω |
2.1885760479485 |
Real period |
R |
0.86494206716551 |
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 |
46256j1 23128a1 |
Quadratic twists by: -4 -7 |