Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
93138bk |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-745104 = -1 · 24 · 3 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 -3 -7 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36,-96] |
[a1,a2,a3,a4,a6] |
Generators |
[8:8:1] |
Generators of the group modulo torsion |
j |
-14317849/2064 |
j-invariant |
L |
6.8087338203161 |
L(r)(E,1)/r! |
Ω |
0.96666726044083 |
Real period |
R |
1.7608783548206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93138b1 |
Quadratic twists by: -19 |