Atkin-Lehner |
2+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114920i |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
156912656322406400 = 211 · 52 · 139 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155987,14109134] |
[a1,a2,a3,a4,a6] |
Generators |
[49250:3856399:8] |
Generators of the group modulo torsion |
j |
19327194/7225 |
j-invariant |
L |
5.1597305734481 |
L(r)(E,1)/r! |
Ω |
0.29600690029436 |
Real period |
R |
8.7155579456566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999802097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114920m2 |
Quadratic twists by: 13 |