Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440bs |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6467737306060800 = 211 · 314 · 52 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117507,-15013406] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:490:1] |
Generators of the group modulo torsion |
j |
120186986927618/4332064275 |
j-invariant |
L |
7.2640158601336 |
L(r)(E,1)/r! |
Ω |
0.25843126187058 |
Real period |
R |
1.7567572435691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720p3 18480w4 |
Quadratic twists by: -4 -3 |