Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320j |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.039240938554E+22 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6881736,4924291436] |
[a1,a2,a3,a4,a6] |
Generators |
[304757995392096423645:58526725672996320124:142342125369952689] |
Generators of the group modulo torsion |
j |
1659578027546/478515625 |
j-invariant |
L |
7.9412250317453 |
L(r)(E,1)/r! |
Ω |
0.11949089751081 |
Real period |
R |
33.229414110957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640h2 47320ba2 |
Quadratic twists by: -4 13 |