Atkin-Lehner |
2+ 3+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330c |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
98259272100 = 22 · 33 · 52 · 112 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-469920,124106796] |
[a1,a2,a3,a4,a6] |
j |
425042400204763799067/3639232300 |
j-invariant |
L |
0.98608550442386 |
L(r)(E,1)/r! |
Ω |
0.73956412841066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
66330bi3 |
Quadratic twists by: -3 |