Atkin-Lehner |
2- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
44240m |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-53297067622400 = -1 · 215 · 52 · 77 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -1 -1 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11256,582256] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-784:1] [-39:980:1] |
Generators of the group modulo torsion |
j |
-38508322495609/13011979400 |
j-invariant |
L |
7.4630258246193 |
L(r)(E,1)/r! |
Ω |
0.59493370238146 |
Real period |
R |
0.22400532658231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5530a1 |
Quadratic twists by: -4 |