Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27588a |
Isogeny class |
Conductor |
27588 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-64363308435765504 = -1 · 28 · 32 · 118 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116684,19643736] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-2166:1] |
Generators of the group modulo torsion |
j |
-3201694672/1172889 |
j-invariant |
L |
5.3176001846106 |
L(r)(E,1)/r! |
Ω |
0.32850137591389 |
Real period |
R |
1.3489543155938 |
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 |
110352cn1 82764l1 27588d1 |
Quadratic twists by: -4 -3 -11 |