Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27552u |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
3843008064 = 26 · 36 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-434,1656] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:72:1] |
Generators of the group modulo torsion |
j |
141583688128/60047001 |
j-invariant |
L |
5.8886540083728 |
L(r)(E,1)/r! |
Ω |
1.2608836773973 |
Real period |
R |
1.5567531760815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27552b1 55104a2 82656m1 |
Quadratic twists by: -4 8 -3 |