Atkin-Lehner |
2- 3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
45264s |
Isogeny class |
Conductor |
45264 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1039023894528 = -1 · 212 · 38 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,856,48372] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:96:1] [-2:216:1] |
Generators of the group modulo torsion |
j |
16915218263/253667943 |
j-invariant |
L |
9.315600907717 |
L(r)(E,1)/r! |
Ω |
0.64982190417483 |
Real period |
R |
0.89597634827612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829d2 |
Quadratic twists by: -4 |