Atkin-Lehner |
3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33489k |
Isogeny class |
Conductor |
33489 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3513600 |
Modular degree for the optimal curve |
Δ |
-6.2147486937219E+21 |
Discriminant |
Eigenvalues |
-1 3- -3 3 5 -3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36302774,-84265798966] |
[a1,a2,a3,a4,a6] |
Generators |
[1103346162028970676:-295854724044242371282:15291772339661] |
Generators of the group modulo torsion |
j |
-620650477/729 |
j-invariant |
L |
2.977596019732 |
L(r)(E,1)/r! |
Ω |
0.030750630372029 |
Real period |
R |
24.207601467907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11163d1 33489i1 |
Quadratic twists by: -3 61 |