Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128800d |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
220078080 |
Modular degree for the optimal curve |
Δ |
2.685451567173E+30 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4444463758,-82399937947488] |
[a1,a2,a3,a4,a6] |
j |
9709163613089309722873564864/2685451567173004150390625 |
j-invariant |
L |
4.7189602722953 |
L(r)(E,1)/r! |
Ω |
0.018875842300553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800h1 25760m1 |
Quadratic twists by: -4 5 |