Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066bm |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
334198679407617024 = 210 · 32 · 7 · 119 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3852219,2908406601] |
[a1,a2,a3,a4,a6] |
j |
2681158320936467/141732864 |
j-invariant |
L |
2.8737668134101 |
L(r)(E,1)/r! |
Ω |
0.28737668203073 |
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 |
66066o1 |
Quadratic twists by: -11 |