Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4554k |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3.7337160512357E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1493433,-1164851091] |
[a1,a2,a3,a4,a6] |
Generators |
[1533:11343:1] |
Generators of the group modulo torsion |
j |
-505304979693115442833/512169554353324032 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
36432cg1 1518s1 113850ee1 50094cj1 |
Quadratic twists by: -4 -3 5 -11 |