Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ex |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-856321481676960000 = -1 · 28 · 38 · 54 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91767,45789874] |
[a1,a2,a3,a4,a6] |
j |
-94875856/950625 |
j-invariant |
L |
1.9193441539309 |
L(r)(E,1)/r! |
Ω |
0.23991799906297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30420t2 40560cd2 9360bi2 |
Quadratic twists by: -4 -3 13 |