Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75348o |
Isogeny class |
Conductor |
75348 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-1109465052224256 = -1 · 28 · 36 · 76 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14856,1443076] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:14:1] |
Generators of the group modulo torsion |
j |
1942951190528/5944921619 |
j-invariant |
L |
5.4184176983396 |
L(r)(E,1)/r! |
Ω |
0.34527750426551 |
Real period |
R |
2.6154892960941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978012 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8372e2 |
Quadratic twists by: -3 |