Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200dy |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
96256000 = 214 · 53 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- 3 -3 -5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273,-1583] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:8:1] [-8:5:1] |
Generators of the group modulo torsion |
j |
1102736/47 |
j-invariant |
L |
9.2806890121818 |
L(r)(E,1)/r! |
Ω |
1.1772487998488 |
Real period |
R |
1.9708427422765 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bf1 18800bo1 75200df1 |
Quadratic twists by: -4 8 5 |