Atkin-Lehner |
3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
75b |
Isogeny class |
Conductor |
75 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
234375 = 3 · 57 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2001,34273] |
[a1,a2,a3,a4,a6] |
j |
56667352321/15 |
j-invariant |
L |
1.2527374448595 |
L(r)(E,1)/r! |
Ω |
2.505474889719 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1200j3 4800b4 225c3 15a7 |
Quadratic twists by: -4 8 -3 5 |