Atkin-Lehner |
2+ 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442i |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
215686481460372 = 22 · 34 · 137 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43606,-3436444] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:311:1] [-125:317:1] |
Generators of the group modulo torsion |
j |
1899713166625/44685108 |
j-invariant |
L |
10.225306805674 |
L(r)(E,1)/r! |
Ω |
0.33085404632215 |
Real period |
R |
1.9316120882773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8034i2 |
Quadratic twists by: 13 |