Atkin-Lehner |
3+ 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119145b |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67968 |
Modular degree for the optimal curve |
Δ |
17689815585 = 36 · 5 · 133 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-783,-5832] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:459:8] |
Generators of the group modulo torsion |
j |
24212815957/8051805 |
j-invariant |
L |
5.7119166344109 |
L(r)(E,1)/r! |
Ω |
0.9264735128256 |
Real period |
R |
3.0826119796403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998870776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119145d1 |
Quadratic twists by: 13 |