Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247l |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
2481076579941 = 37 · 176 · 47 |
Discriminant |
Eigenvalues |
0 3- -1 3 -3 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3468,20880] |
[a1,a2,a3,a4,a6] |
Generators |
[0:144:1] |
Generators of the group modulo torsion |
j |
262144/141 |
j-invariant |
L |
3.6389121799422 |
L(r)(E,1)/r! |
Ω |
0.71141316461612 |
Real period |
R |
1.2787619047541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999069381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40749j1 423a1 |
Quadratic twists by: -3 17 |