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 |
7161919541015625 = 36 · 510 · 172 · 592 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97438,10967867] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:4514:1] |
Generators of the group modulo torsion |
j |
6547704148252441/458362850625 |
j-invariant |
L |
4.9221374841815 |
L(r)(E,1)/r! |
Ω |
0.4109018631504 |
Real period |
R |
1.9964773120114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000147 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15045d2 |
Quadratic twists by: 5 |