Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626j |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
132218506536714 = 2 · 36 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-361593,83779515] |
[a1,a2,a3,a4,a6] |
Generators |
[387:-1494:1] [5041:352926:1] |
Generators of the group modulo torsion |
j |
297141543217/7514 |
j-invariant |
L |
6.9414793538392 |
L(r)(E,1)/r! |
Ω |
0.54203571474657 |
Real period |
R |
6.4031568077068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514g2 3978c2 |
Quadratic twists by: -3 17 |