Atkin-Lehner |
2- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
55616be |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-2505834496 = -1 · 218 · 112 · 79 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,2431] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:55:1] [1:48:1] |
Generators of the group modulo torsion |
j |
-912673/9559 |
j-invariant |
L |
5.1322451733803 |
L(r)(E,1)/r! |
Ω |
1.232484945233 |
Real period |
R |
2.0820721556208 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55616c1 13904e1 |
Quadratic twists by: -4 8 |