Atkin-Lehner |
2- 3- 29+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37062g |
Isogeny class |
Conductor |
37062 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-264770343013392 = -1 · 24 · 313 · 29 · 713 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 0 6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1093460,440374983] |
[a1,a2,a3,a4,a6] |
Generators |
[581:681:1] |
Generators of the group modulo torsion |
j |
-198337353292262661625/363196629648 |
j-invariant |
L |
8.0328051386115 |
L(r)(E,1)/r! |
Ω |
0.47272661740953 |
Real period |
R |
1.0620309977771 |
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 |
12354a1 |
Quadratic twists by: -3 |