Atkin-Lehner |
5- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14105f |
Isogeny class |
Conductor |
14105 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-9815582542675 = -1 · 52 · 78 · 133 · 31 |
Discriminant |
Eigenvalues |
0 2 5- 7- 3 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-432335,109559806] |
[a1,a2,a3,a4,a6] |
Generators |
[400:682:1] |
Generators of the group modulo torsion |
j |
-8936879525486904180736/9815582542675 |
j-invariant |
L |
6.2348038936542 |
L(r)(E,1)/r! |
Ω |
0.61129775003244 |
Real period |
R |
0.21248523780362 |
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 |
126945n1 70525c1 98735c1 |
Quadratic twists by: -3 5 -7 |