Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696fd |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
84489528937955328 = 214 · 37 · 119 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-750684,249951152] |
[a1,a2,a3,a4,a6] |
Generators |
[466:1152:1] |
Generators of the group modulo torsion |
j |
1661168/3 |
j-invariant |
L |
8.3131640187303 |
L(r)(E,1)/r! |
Ω |
0.34137753622218 |
Real period |
R |
3.0439773914823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696bc2 17424k2 23232cp2 69696fe2 |
Quadratic twists by: -4 8 -3 -11 |