Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bp |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
624 |
Product of Tamagawa factors cp |
Δ |
5.6252835437834E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51517958,141881289621] |
[a1,a2,a3,a4,a6] |
Generators |
[3081:109787:1] |
Generators of the group modulo torsion |
j |
20743025346748276063332121/77164383316644126720 |
j-invariant |
L |
8.8646972016225 |
L(r)(E,1)/r! |
Ω |
0.11212507568694 |
Real period |
R |
0.5067999438448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910g2 |
Quadratic twists by: -3 |