Atkin-Lehner |
2+ 3+ 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330f |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.63399762944E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2529169179,-48956383223515] |
[a1,a2,a3,a4,a6] |
j |
90900456040412489229868294947/830156800000000 |
j-invariant |
L |
0.34062385834953 |
L(r)(E,1)/r! |
Ω |
0.02128899129942 |
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 |
66330bb2 |
Quadratic twists by: -3 |