Atkin-Lehner |
3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5325j |
Isogeny class |
Conductor |
5325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-6240234375 = -1 · 32 · 510 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,124,3773] |
[a1,a2,a3,a4,a6] |
j |
13651919/399375 |
j-invariant |
L |
2.0182463248631 |
L(r)(E,1)/r! |
Ω |
1.0091231624315 |
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 |
85200ch1 15975o1 1065b1 |
Quadratic twists by: -4 -3 5 |