Atkin-Lehner |
2- 3+ 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560bx |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
5.57850843221E+31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-365910297800,-85193326525010448] |
[a1,a2,a3,a4,a6] |
j |
1322780122550052546890213304187360201/13619405352075264000000000000 |
j-invariant |
L |
2.3571509963055 |
L(r)(E,1)/r! |
Ω |
0.006138413848412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14070d2 |
Quadratic twists by: -4 |