Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38440i |
Isogeny class |
Conductor |
38440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
953312000000 = 211 · 56 · 313 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20666656,-36168972000] |
[a1,a2,a3,a4,a6] |
Generators |
[968045440377347481860594549826541844225:-265462877439560808544705504465597302563680:12825385721799129359837049689923391] |
Generators of the group modulo torsion |
j |
15999976000011999998/15625 |
j-invariant |
L |
4.5050577290005 |
L(r)(E,1)/r! |
Ω |
0.070807946608852 |
Real period |
R |
63.623617754207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76880g2 38440h2 |
Quadratic twists by: -4 -31 |