Atkin-Lehner |
2+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27376a |
Isogeny class |
Conductor |
27376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
2946971648 = 211 · 293 · 59 |
Discriminant |
Eigenvalues |
2+ -2 2 2 3 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1152,-15212] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:4:1] |
Generators of the group modulo torsion |
j |
82628169986/1438951 |
j-invariant |
L |
4.8980023769797 |
L(r)(E,1)/r! |
Ω |
0.82028335462018 |
Real period |
R |
1.4927775717354 |
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 |
13688b1 109504w1 |
Quadratic twists by: -4 8 |