Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9282u |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
1.3488306398893E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15945482,-16983780828] |
[a1,a2,a3,a4,a6] |
j |
448370126000857162602152353/134883063988931602326528 |
j-invariant |
L |
6.1847964755183 |
L(r)(E,1)/r! |
Ω |
0.077309955943978 |
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 |
74256bi1 27846q1 64974bp1 120666r1 |
Quadratic twists by: -4 -3 -7 13 |