Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248w |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
80217671860224 = 217 · 37 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10956,95600] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:207:1] |
Generators of the group modulo torsion |
j |
1522096994/839523 |
j-invariant |
L |
3.3851518549876 |
L(r)(E,1)/r! |
Ω |
0.52918458220165 |
Real period |
R |
1.599230197195 |
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 |
13248bh3 1656c4 4416e3 |
Quadratic twists by: -4 8 -3 |