Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bk |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-4213960390003102596 = -1 · 22 · 36 · 116 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11- 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,350559,57983121] |
[a1,a2,a3,a4,a6] |
Generators |
[490:18389:1] |
Generators of the group modulo torsion |
j |
8011835663/7086244 |
j-invariant |
L |
3.7718466268967 |
L(r)(E,1)/r! |
Ω |
0.16043196375834 |
Real period |
R |
2.9388210261658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3718o2 33462cm2 |
Quadratic twists by: -3 13 |