Atkin-Lehner |
3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8349c |
Isogeny class |
Conductor |
8349 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30926140377 = 3 · 117 · 232 |
Discriminant |
Eigenvalues |
1 3- -2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11265587,14552942369] |
[a1,a2,a3,a4,a6] |
Generators |
[-3631:88935:1] |
Generators of the group modulo torsion |
j |
89254274298475942657/17457 |
j-invariant |
L |
5.3438650316393 |
L(r)(E,1)/r! |
Ω |
0.47439056924894 |
Real period |
R |
5.6323474559158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25047i6 759b5 |
Quadratic twists by: -3 -11 |