Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712bi |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1467470577664 = -1 · 220 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 6 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43489,3505761] |
[a1,a2,a3,a4,a6] |
j |
-1214950633/196 |
j-invariant |
L |
6.583333026167 |
L(r)(E,1)/r! |
Ω |
0.82291663180864 |
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 |
75712cg1 2366e1 75712m1 |
Quadratic twists by: -4 8 13 |