Atkin-Lehner |
5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
27775b |
Isogeny class |
Conductor |
27775 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-3106072365171875 = -1 · 56 · 117 · 1012 |
Discriminant |
Eigenvalues |
0 3 5+ 0 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-217600,39161281] |
[a1,a2,a3,a4,a6] |
Generators |
[9507:67202:27] |
Generators of the group modulo torsion |
j |
-72925658468057088/198788631371 |
j-invariant |
L |
8.0332147727965 |
L(r)(E,1)/r! |
Ω |
0.45075819999812 |
Real period |
R |
1.2729686452784 |
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 |
1111b1 |
Quadratic twists by: 5 |