Atkin-Lehner |
2- 3+ 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330bi |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-315080455078125000 = -1 · 23 · 33 · 512 · 113 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,104938,-23651539] |
[a1,a2,a3,a4,a6] |
Generators |
[595:15487:1] |
Generators of the group modulo torsion |
j |
4733279782450255197/11669646484375000 |
j-invariant |
L |
8.7981754751107 |
L(r)(E,1)/r! |
Ω |
0.15791528228438 |
Real period |
R |
4.6428773638082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001024 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
66330c4 |
Quadratic twists by: -3 |