Atkin-Lehner |
3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
6405i |
Isogeny class |
Conductor |
6405 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
160125 = 3 · 53 · 7 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 5 5 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21,-40] |
[a1,a2,a3,a4,a6] |
j |
1073741824/160125 |
j-invariant |
L |
2.2436260016576 |
L(r)(E,1)/r! |
Ω |
2.2436260016576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102480be1 19215p1 32025g1 44835m1 |
Quadratic twists by: -4 -3 5 -7 |