Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4554o |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
-6.5765276918978E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 11- 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28660518,-59178960716] |
[a1,a2,a3,a4,a6] |
j |
-3571480626044740843224673/9021299988885921792 |
j-invariant |
L |
1.370036460377 |
L(r)(E,1)/r! |
Ω |
0.032619915723262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36432bl1 1518k1 113850eu1 50094ci1 |
Quadratic twists by: -4 -3 5 -11 |