Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680p |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.534796369552E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,913424,-688674624] |
[a1,a2,a3,a4,a6] |
j |
20576928282504922511/61884676991016100 |
j-invariant |
L |
3.2287809022417 |
L(r)(E,1)/r! |
Ω |
0.089688358462745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710i2 |
Quadratic twists by: -4 |