Atkin-Lehner |
2+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202j |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-289019669302 = -1 · 2 · 72 · 137 · 47 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2651,-57901] |
[a1,a2,a3,a4,a6] |
Generators |
[85:528:1] |
Generators of the group modulo torsion |
j |
-426957777/59878 |
j-invariant |
L |
4.9825404910269 |
L(r)(E,1)/r! |
Ω |
0.33009732386222 |
Real period |
R |
3.7735389870353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554j1 |
Quadratic twists by: 13 |