Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738j |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-187502632 = -1 · 23 · 293 · 312 |
Discriminant |
Eigenvalues |
2+ 2 0 2 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,120,-376] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] |
Generators of the group modulo torsion |
j |
196280375/195112 |
j-invariant |
L |
7.7066727483331 |
L(r)(E,1)/r! |
Ω |
0.97714228011486 |
Real period |
R |
2.6289834841808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738b2 |
Quadratic twists by: -31 |