Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630h |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4.4879655416389E+31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8881818546,-9326675426048] |
[a1,a2,a3,a4,a6] |
j |
108625315583859791/62914560000000 |
j-invariant |
L |
1.1791556224697 |
L(r)(E,1)/r! |
Ω |
0.012032203989839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630t2 |
Quadratic twists by: 61 |