Atkin-Lehner |
2+ 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3666f |
Isogeny class |
Conductor |
3666 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-4.2442991940711E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 4 1 3 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1088447,-889175435] |
[a1,a2,a3,a4,a6] |
j |
142608347930492655397991/424429919407109820672 |
j-invariant |
L |
1.8909619050859 |
L(r)(E,1)/r! |
Ω |
0.08595281386754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29328ba1 117312bc1 10998v1 91650da1 |
Quadratic twists by: -4 8 -3 5 |