Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520bb |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-19307236000000 = -1 · 28 · 56 · 136 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6140,283100] |
[a1,a2,a3,a4,a6] |
Generators |
[410:2535:8] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
7.3819699201132 |
L(r)(E,1)/r! |
Ω |
0.63073994107834 |
Real period |
R |
1.9506110837304 |
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 |
3380i4 54080ck4 121680dm4 67600cc4 |
Quadratic twists by: -4 8 -3 5 |