Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17914i |
Isogeny class |
Conductor |
17914 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
638400 |
Modular degree for the optimal curve |
Δ |
-5914323788597559296 = -1 · 225 · 137 · 532 |
Discriminant |
Eigenvalues |
2- 1 1 -5 -4 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2333640,1376926784] |
[a1,a2,a3,a4,a6] |
Generators |
[40:35808:1] |
Generators of the group modulo torsion |
j |
-291182446516741129/1225307193344 |
j-invariant |
L |
7.7518345395802 |
L(r)(E,1)/r! |
Ω |
0.24064669270125 |
Real period |
R |
0.16106256131273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1378a1 |
Quadratic twists by: 13 |