Atkin-Lehner |
2+ 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9282g |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8800 |
Modular degree for the optimal curve |
Δ |
-12724953696 = -1 · 25 · 32 · 7 · 135 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -4 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,577,1010] |
[a1,a2,a3,a4,a6] |
j |
21297698535959/12724953696 |
j-invariant |
L |
1.5450606915255 |
L(r)(E,1)/r! |
Ω |
0.77253034576276 |
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 |
74256bx1 27846bf1 64974o1 120666cf1 |
Quadratic twists by: -4 -3 -7 13 |