Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4554k |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.4845955378105E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32217273,-38947190931] |
[a1,a2,a3,a4,a6] |
Generators |
[-2541:164076:1] |
Generators of the group modulo torsion |
j |
5072972674420068408718993/2036482219218784389888 |
j-invariant |
L |
2.7292324326734 |
L(r)(E,1)/r! |
Ω |
0.065611866785788 |
Real period |
R |
3.4663856890197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36432cg3 1518s3 113850ee3 50094cj3 |
Quadratic twists by: -4 -3 5 -11 |