Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23232cq |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
65421312 = 214 · 3 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-689,7185] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:44:1] [-3:96:1] |
Generators of the group modulo torsion |
j |
1661168/3 |
j-invariant |
L |
5.8113895742839 |
L(r)(E,1)/r! |
Ω |
1.9610646429491 |
Real period |
R |
1.4816925069705 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23232bj2 5808i2 69696fe2 23232cp2 |
Quadratic twists by: -4 8 -3 -11 |