Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066ce |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
202447276948844928 = 27 · 34 · 72 · 119 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44519593,114330154841] |
[a1,a2,a3,a4,a6] |
Generators |
[3842:-829:1] |
Generators of the group modulo torsion |
j |
4138501360819965875/85857408 |
j-invariant |
L |
11.978543117328 |
L(r)(E,1)/r! |
Ω |
0.22881972699241 |
Real period |
R |
0.93480819367543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066z2 |
Quadratic twists by: -11 |