Atkin-Lehner |
2+ 3+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330c |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-33582674380241250 = -1 · 2 · 33 · 54 · 11 · 676 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-469590,124289550] |
[a1,a2,a3,a4,a6] |
j |
-424147574749944149307/1243802754823750 |
j-invariant |
L |
0.98608550442386 |
L(r)(E,1)/r! |
Ω |
0.36978206420533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
66330bi4 |
Quadratic twists by: -3 |