Atkin-Lehner |
2- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
127088f |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
5973136 = 24 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 1 2 -3 -3 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82,235] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] [90:235:8] |
Generators of the group modulo torsion |
j |
22826752/2209 |
j-invariant |
L |
14.278653727306 |
L(r)(E,1)/r! |
Ω |
2.3265359360563 |
Real period |
R |
3.0686510169669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999964471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31772d1 127088m1 |
Quadratic twists by: -4 13 |