Atkin-Lehner |
2- 3+ 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33306p |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-1.789154487741E+20 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 4 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6694426,-6700589209] |
[a1,a2,a3,a4,a6] |
j |
-33179035101981150376114849/178915448774102668992 |
j-invariant |
L |
6.7555961205598 |
L(r)(E,1)/r! |
Ω |
0.04691386194828 |
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 |
99918m2 |
Quadratic twists by: -3 |