Atkin-Lehner |
2- 3+ 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33726n |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
41600 |
Modular degree for the optimal curve |
Δ |
124379329536 = 210 · 32 · 75 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ -4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1516,14477] |
[a1,a2,a3,a4,a6] |
Generators |
[5:81:1] |
Generators of the group modulo torsion |
j |
385335676732609/124379329536 |
j-invariant |
L |
6.3947292169266 |
L(r)(E,1)/r! |
Ω |
0.96469930603824 |
Real period |
R |
0.066287279123147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101178w1 |
Quadratic twists by: -3 |