Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36192w |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96256 |
Modular degree for the optimal curve |
Δ |
4590810432 = 26 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113714,14797380] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1134:1] |
Generators of the group modulo torsion |
j |
2540910494160077248/71731413 |
j-invariant |
L |
3.9187862452636 |
L(r)(E,1)/r! |
Ω |
1.0050887033221 |
Real period |
R |
1.9494728337465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36192bc1 72384dl2 108576g1 |
Quadratic twists by: -4 8 -3 |