Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
111540j |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
6.9392802832031E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1063001,131953626] |
[a1,a2,a3,a4,a6] |
j |
3778984410690076672/1974078369140625 |
j-invariant |
L |
1.5430599902941 |
L(r)(E,1)/r! |
Ω |
0.17145112809686 |
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 |
111540s1 |
Quadratic twists by: 13 |