Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560eh |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-70708101120 = -1 · 219 · 36 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30828,2083408] |
[a1,a2,a3,a4,a6] |
Generators |
[101:9:1] |
Generators of the group modulo torsion |
j |
-16954786009/370 |
j-invariant |
L |
6.638904857673 |
L(r)(E,1)/r! |
Ω |
1.0115549187552 |
Real period |
R |
1.6407672777761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560bf1 26640ca1 11840bi1 |
Quadratic twists by: -4 8 -3 |