Atkin-Lehner |
5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27025a |
Isogeny class |
Conductor |
27025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
4290809921875 = 57 · 232 · 473 |
Discriminant |
Eigenvalues |
1 3 5+ -1 5 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6442,-170659] |
[a1,a2,a3,a4,a6] |
Generators |
[-852:1001:27] |
Generators of the group modulo torsion |
j |
1892360039409/274611835 |
j-invariant |
L |
11.57358984768 |
L(r)(E,1)/r! |
Ω |
0.5380560582234 |
Real period |
R |
2.6887509374708 |
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 |
5405a1 |
Quadratic twists by: 5 |