Atkin-Lehner |
3- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
75225m |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1022969742929296875 = -1 · 312 · 58 · 174 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,86937,47658492] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:5154:1] |
Generators of the group modulo torsion |
j |
4650689259529559/65470063547475 |
j-invariant |
L |
4.9221374841815 |
L(r)(E,1)/r! |
Ω |
0.2054509315752 |
Real period |
R |
0.99823865600569 |
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 |
15045d4 |
Quadratic twists by: 5 |