Atkin-Lehner |
2+ 3- 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330x |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3.1539585004934E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3799719,-3926926467] |
[a1,a2,a3,a4,a6] |
j |
-8322440321165445821809/4326417696150000000 |
j-invariant |
L |
2.5332276393099 |
L(r)(E,1)/r! |
Ω |
0.052775575969555 |
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 |
22110o2 |
Quadratic twists by: -3 |