Atkin-Lehner |
3+ 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
112749m |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
5849779931541 = 33 · 710 · 13 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4524,14888] |
[a1,a2,a3,a4,a6] |
j |
87056109568/49722309 |
j-invariant |
L |
1.2993593338287 |
L(r)(E,1)/r! |
Ω |
0.64967932974916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16107h1 |
Quadratic twists by: -7 |