Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5544f |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-2694384 = -1 · 24 · 37 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- -5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,79] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] |
Generators of the group modulo torsion |
j |
-256/231 |
j-invariant |
L |
3.5044496033881 |
L(r)(E,1)/r! |
Ω |
2.0647598566229 |
Real period |
R |
0.21215842560015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11088u1 44352t1 1848i1 38808bf1 |
Quadratic twists by: -4 8 -3 -7 |