Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
14600g |
Isogeny class |
Conductor |
14600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
456250000 = 24 · 58 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -2 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-463] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:25:1] [16:7:1] |
Generators of the group modulo torsion |
j |
160000/73 |
j-invariant |
L |
5.4517781845041 |
L(r)(E,1)/r! |
Ω |
1.3121463960426 |
Real period |
R |
0.69247585494863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29200g1 116800be1 14600a1 |
Quadratic twists by: -4 8 5 |