Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656co |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1828591091712 = 214 · 32 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2602024,1614663092] |
[a1,a2,a3,a4,a6] |
Generators |
[932:54:1] [3532:191046:1] |
Generators of the group modulo torsion |
j |
268498407453697/252 |
j-invariant |
L |
9.2369568430941 |
L(r)(E,1)/r! |
Ω |
0.52394341795962 |
Real period |
R |
8.814841952844 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082i3 121968ee4 336d3 |
Quadratic twists by: -4 -3 -11 |