Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800f |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.13216E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273736033,-1743104108063] |
[a1,a2,a3,a4,a6] |
Generators |
[-75934335011870223502019032:1187548557917061019235361:7949116662575240002843] |
Generators of the group modulo torsion |
j |
553808571467029327441/12529687500 |
j-invariant |
L |
5.8109063898434 |
L(r)(E,1)/r! |
Ω |
0.037116461228157 |
Real period |
R |
39.139684910373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800gu6 1650h5 10560q5 |
Quadratic twists by: -4 8 5 |