Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256o |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
112796853739435008 = 210 · 314 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331419,-71637082] |
[a1,a2,a3,a4,a6] |
Generators |
[84470:450522:125] |
Generators of the group modulo torsion |
j |
3044193988/85293 |
j-invariant |
L |
5.4510517126146 |
L(r)(E,1)/r! |
Ω |
0.19931895405345 |
Real period |
R |
6.8370964555924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752r4 936i3 |
Quadratic twists by: -3 -11 |