Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770cl |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
6305233617540000 = 25 · 34 · 54 · 116 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-170700,-26946483] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:611:1] |
Generators of the group modulo torsion |
j |
250376968939063933/2869928820000 |
j-invariant |
L |
7.1570909514029 |
L(r)(E,1)/r! |
Ω |
0.2350401396619 |
Real period |
R |
0.25375420845403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55770d2 |
Quadratic twists by: 13 |