Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675f |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-48558234375 = -1 · 37 · 56 · 72 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,-10584] |
[a1,a2,a3,a4,a6] |
j |
-15625/4263 |
j-invariant |
L |
2.021033821774 |
L(r)(E,1)/r! |
Ω |
0.50525845550896 |
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 |
15225q1 1827c1 |
Quadratic twists by: -3 5 |