Atkin-Lehner |
2+ 3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330u |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.8973498870606E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-178906464,-944555025920] |
[a1,a2,a3,a4,a6] |
j |
-868708921565778174649456129/26026747421956282805760 |
j-invariant |
L |
2.637282911568 |
L(r)(E,1)/r! |
Ω |
0.020603772869326 |
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 |
22110l2 |
Quadratic twists by: -3 |