Atkin-Lehner |
3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225r |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
60192 |
Modular degree for the optimal curve |
Δ |
-3617306116875 = -1 · 33 · 54 · 118 |
Discriminant |
Eigenvalues |
0 3+ 5- 5 11- -7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,91506] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:701:8] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.1605740466952 |
L(r)(E,1)/r! |
Ω |
0.62663870408113 |
Real period |
R |
4.1176630274238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27225r2 27225e1 27225t1 |
Quadratic twists by: -3 5 -11 |