Atkin-Lehner |
2- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
55744j |
Isogeny class |
Conductor |
55744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-122469568 = -1 · 26 · 134 · 67 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 0 13- -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169,-945] |
[a1,a2,a3,a4,a6] |
Generators |
[18:39:1] [378:2457:8] |
Generators of the group modulo torsion |
j |
-8390176768/1913587 |
j-invariant |
L |
11.557453649172 |
L(r)(E,1)/r! |
Ω |
0.65380786133924 |
Real period |
R |
4.4192852107591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55744f1 13936a1 |
Quadratic twists by: -4 8 |