Atkin-Lehner |
2- 3+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330bb |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
3649536 |
Modular degree for the optimal curve |
Δ |
5.726192132948E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17564078,28334632637] |
[a1,a2,a3,a4,a6] |
Generators |
[2073:27763:1] |
Generators of the group modulo torsion |
j |
22194021174752313375023907/2120811901091840000 |
j-invariant |
L |
7.8728707492587 |
L(r)(E,1)/r! |
Ω |
0.18971438552123 |
Real period |
R |
0.57636866478403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330f1 |
Quadratic twists by: -3 |