Atkin-Lehner |
5+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
61105a |
Isogeny class |
Conductor |
61105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-30753191734375 = -1 · 56 · 117 · 101 |
Discriminant |
Eigenvalues |
-1 -2 5+ 4 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2241,-270104] |
[a1,a2,a3,a4,a6] |
j |
-702595369/17359375 |
j-invariant |
L |
0.57178061478021 |
L(r)(E,1)/r! |
Ω |
0.28589030540517 |
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 |
5555a1 |
Quadratic twists by: -11 |