Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4554bi |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
23607936 = 27 · 36 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11- 3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-428,3503] |
[a1,a2,a3,a4,a6] |
Generators |
[9:13:1] |
Generators of the group modulo torsion |
j |
11867954041/32384 |
j-invariant |
L |
5.1253984914739 |
L(r)(E,1)/r! |
Ω |
2.1406550047053 |
Real period |
R |
0.17102236999583 |
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 |
36432bh1 506a1 113850br1 50094z1 |
Quadratic twists by: -4 -3 5 -11 |