Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288n |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
682086033408 = 211 · 3 · 136 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-497592,134935152] |
[a1,a2,a3,a4,a6] |
j |
1378334691074/69 |
j-invariant |
L |
5.4283205327176 |
L(r)(E,1)/r! |
Ω |
0.67854006797563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
552e4 |
Quadratic twists by: 13 |