Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680eo |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
351311377098240000 = 212 · 37 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3163680507,-68491557391894] |
[a1,a2,a3,a4,a6] |
j |
242970740812818720001/24375 |
j-invariant |
L |
1.2883429499782 |
L(r)(E,1)/r! |
Ω |
0.02013035343607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7605p7 40560bg8 9360bm7 |
Quadratic twists by: -4 -3 13 |