Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120by |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-2056955084800 = -1 · 214 · 52 · 73 · 114 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8976,331540] |
[a1,a2,a3,a4,a6] |
Generators |
[44:154:1] [-33:770:1] |
Generators of the group modulo torsion |
j |
-56933326423/1464100 |
j-invariant |
L |
6.10900682292 |
L(r)(E,1)/r! |
Ω |
0.82521578766069 |
Real period |
R |
0.46268252757846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390y1 43120ct1 |
Quadratic twists by: -4 -7 |