Atkin-Lehner |
2- 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672ba |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
9891840 |
Modular degree for the optimal curve |
Δ |
-4.390104094682E+24 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 4 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-146619056,690682020948] |
[a1,a2,a3,a4,a6] |
j |
-85101070681202968915157809/1071802757490712510464 |
j-invariant |
L |
2.1815141517466 |
L(r)(E,1)/r! |
Ω |
0.077911219739227 |
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 |
6834j1 |
Quadratic twists by: -4 |