Atkin-Lehner |
2+ 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662g |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
241830511554351104 = 212 · 73 · 119 · 73 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ 11- 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1997955,-1086901378] |
[a1,a2,a3,a4,a6] |
j |
497879673215404033/136507019264 |
j-invariant |
L |
1.0158983726203 |
L(r)(E,1)/r! |
Ω |
0.12698730334347 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242i1 |
Quadratic twists by: -11 |