Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596r |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-154036526881536 = -1 · 28 · 38 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -5 13+ 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4056,-588796] |
[a1,a2,a3,a4,a6] |
Generators |
[208:3042:1] |
Generators of the group modulo torsion |
j |
8192/171 |
j-invariant |
L |
3.3405731010906 |
L(r)(E,1)/r! |
Ω |
0.28030996372108 |
Real period |
R |
0.99311879874892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999033525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38532d1 684c1 |
Quadratic twists by: -3 13 |