Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248u |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1364761903104 = 217 · 39 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41196,3217840] |
[a1,a2,a3,a4,a6] |
Generators |
[93:437:1] |
Generators of the group modulo torsion |
j |
80919167474/14283 |
j-invariant |
L |
4.4134384954742 |
L(r)(E,1)/r! |
Ω |
0.82934305498566 |
Real period |
R |
2.6608039151847 |
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 |
13248bg2 1656h2 4416g2 |
Quadratic twists by: -4 8 -3 |