Atkin-Lehner |
5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
101675t |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-186905657421875 = -1 · 58 · 78 · 83 |
Discriminant |
Eigenvalues |
2 1 5- 7+ 5 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,14292,-9131] |
[a1,a2,a3,a4,a6] |
Generators |
[133188129146:2647517286907:376367048] |
Generators of the group modulo torsion |
j |
143360/83 |
j-invariant |
L |
16.850260389227 |
L(r)(E,1)/r! |
Ω |
0.33819025227577 |
Real period |
R |
16.608265392864 |
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 |
101675c1 101675z1 |
Quadratic twists by: 5 -7 |