Atkin-Lehner |
3- 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
112749p |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-41322862491157611 = -1 · 38 · 77 · 133 · 592 |
Discriminant |
Eigenvalues |
0 3- 1 7- -2 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-998195,-384316033] |
[a1,a2,a3,a4,a6] |
j |
-934936419326132224/351238535739 |
j-invariant |
L |
2.4166058184178 |
L(r)(E,1)/r! |
Ω |
0.075518940465641 |
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 |
16107b1 |
Quadratic twists by: -7 |