Atkin-Lehner |
3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8349c |
Isogeny class |
Conductor |
8349 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-32347398219543 = -1 · 38 · 118 · 23 |
Discriminant |
Eigenvalues |
1 3- -2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3748,259301] |
[a1,a2,a3,a4,a6] |
Generators |
[63:832:1] |
Generators of the group modulo torsion |
j |
3288008303/18259263 |
j-invariant |
L |
5.3438650316393 |
L(r)(E,1)/r! |
Ω |
0.47439056924894 |
Real period |
R |
2.8161737279579 |
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 |
25047i1 759b1 |
Quadratic twists by: -3 -11 |