Atkin-Lehner |
2- 7- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386w |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
3.1296877664449E+19 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1108027969,14196545283281] |
[a1,a2,a3,a4,a6] |
j |
1278755871548631101717786577/266019070833152 |
j-invariant |
L |
4.378078928765 |
L(r)(E,1)/r! |
Ω |
0.12161332371922 |
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 |
16198j3 |
Quadratic twists by: -7 |