Atkin-Lehner |
2- 3+ 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560bx |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
554434560 |
Modular degree for the optimal curve |
Δ |
-1.345484852383E+32 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22312914120,-1398995616387600] |
[a1,a2,a3,a4,a6] |
j |
-299938797397883318312656247591881/32848751278882132328448000000 |
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 |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070d1 |
Quadratic twists by: -4 |