Atkin-Lehner |
2+ 13+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109174f |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
17709130163672792 = 23 · 136 · 176 · 19 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 0 13+ 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-154301,-22446240] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:1055:1] [-220:1039:1] |
Generators of the group modulo torsion |
j |
84171637140625/3668910488 |
j-invariant |
L |
5.8576750508791 |
L(r)(E,1)/r! |
Ω |
0.24153286120056 |
Real period |
R |
4.0420138694061 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
646e2 |
Quadratic twists by: 13 |