Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696er |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-189651018940416 = -1 · 215 · 33 · 118 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10164,-532400] |
[a1,a2,a3,a4,a6] |
Generators |
[333:6307:1] |
Generators of the group modulo torsion |
j |
74088/121 |
j-invariant |
L |
7.1391803096033 |
L(r)(E,1)/r! |
Ω |
0.29884217117432 |
Real period |
R |
5.9723668530815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696es2 34848e2 69696en2 6336bm2 |
Quadratic twists by: -4 8 -3 -11 |