Atkin-Lehner |
29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27869g |
Isogeny class |
Conductor |
27869 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
808201 = 292 · 312 |
Discriminant |
Eigenvalues |
1 3 -1 -1 1 -7 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:164:27] |
Generators of the group modulo torsion |
j |
1838889/841 |
j-invariant |
L |
10.062787986509 |
L(r)(E,1)/r! |
Ω |
2.225659654387 |
Real period |
R |
2.2606304532398 |
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 |
27869a1 |
Quadratic twists by: -31 |