Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225bm |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1378265625 = -1 · 36 · 56 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11- 1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6755,215372] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-20:1] |
Generators of the group modulo torsion |
j |
-24729001 |
j-invariant |
L |
3.0242987665972 |
L(r)(E,1)/r! |
Ω |
1.4268115436677 |
Real period |
R |
1.0598101690511 |
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 |
3025c1 1089f1 27225bj2 |
Quadratic twists by: -3 5 -11 |