Atkin-Lehner |
3- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
112749q |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-82181626615179 = -1 · 32 · 73 · 133 · 594 |
Discriminant |
Eigenvalues |
0 3- 3 7- 2 13- 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-92409,-10851991] |
[a1,a2,a3,a4,a6] |
j |
-254435147042258944/239596579053 |
j-invariant |
L |
3.2856957327759 |
L(r)(E,1)/r! |
Ω |
0.13690398077318 |
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 |
112749c1 |
Quadratic twists by: -7 |