Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800h |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
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 |
2.336665124706 |
L(r)(E,1)/r! |
Ω |
0.02384353366717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800d1 25760k1 |
Quadratic twists by: -4 5 |