Atkin-Lehner |
3+ 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
112749f |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
14708137496852709 = 39 · 78 · 133 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 1 7- -2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-179650,-28661676] |
[a1,a2,a3,a4,a6] |
Generators |
[-26955:7998:125] |
Generators of the group modulo torsion |
j |
5450289287163904/125017105941 |
j-invariant |
L |
3.0511382046146 |
L(r)(E,1)/r! |
Ω |
0.23221973424216 |
Real period |
R |
6.5695068188627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998343502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16107f1 |
Quadratic twists by: -7 |