Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352es |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
6389760 |
Modular degree for the optimal curve |
Δ |
-2.1125545245097E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-965100,69930720592] |
[a1,a2,a3,a4,a6] |
Generators |
[-2416:241164:1] |
Generators of the group modulo torsion |
j |
-520203426765625/11054534935707648 |
j-invariant |
L |
5.643572763143 |
L(r)(E,1)/r! |
Ω |
0.065918250973805 |
Real period |
R |
4.2807361237205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352r1 11088bp1 14784ci1 |
Quadratic twists by: -4 8 -3 |