Atkin-Lehner |
3- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
75225m |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
165289306640625 = 33 · 514 · 17 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19313,-829008] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:355:1] |
Generators of the group modulo torsion |
j |
50986395802441/10578515625 |
j-invariant |
L |
4.9221374841815 |
L(r)(E,1)/r! |
Ω |
0.4109018631504 |
Real period |
R |
3.9929546240228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15045d1 |
Quadratic twists by: 5 |