Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104ck |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
288414952390656 = 216 · 312 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19659,676730] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:1170:1] |
Generators of the group modulo torsion |
j |
281397674377/96589584 |
j-invariant |
L |
5.5397311856249 |
L(r)(E,1)/r! |
Ω |
0.50361012779168 |
Real period |
R |
2.7500098190621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1638q2 52416ga2 4368t2 91728el2 |
Quadratic twists by: -4 8 -3 -7 |