Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286y |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-33892711392672 = -1 · 25 · 34 · 118 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 11- 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3688,-264967] |
[a1,a2,a3,a4,a6] |
Generators |
[51:217:1] |
Generators of the group modulo torsion |
j |
25879007/158112 |
j-invariant |
L |
9.8171152513899 |
L(r)(E,1)/r! |
Ω |
0.32740896173419 |
Real period |
R |
2.9984259439298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286g1 |
Quadratic twists by: -11 |