Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400j |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10450944 |
Modular degree for the optimal curve |
Δ |
-3.15235546875E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 5 -2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11420467,-22565713563] |
[a1,a2,a3,a4,a6] |
j |
2573921453911778816/4925555419921875 |
j-invariant |
L |
0.20209218007278 |
L(r)(E,1)/r! |
Ω |
0.050523093917099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400bb1 19680z1 |
Quadratic twists by: -4 5 |