Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400bb |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
36 |
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] |
Generators |
[-1607:8100:1] |
Generators of the group modulo torsion |
j |
2573921453911778816/4925555419921875 |
j-invariant |
L |
7.902466903637 |
L(r)(E,1)/r! |
Ω |
0.066626205087939 |
Real period |
R |
3.2946941687517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400j1 19680q1 |
Quadratic twists by: -4 5 |