Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722bo |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
60855913297842624 = 26 · 37 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -1 13+ -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-98897,-1533567] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:3108:1] |
Generators of the group modulo torsion |
j |
30400540561/17294784 |
j-invariant |
L |
14.355635566668 |
L(r)(E,1)/r! |
Ω |
0.29095953824439 |
Real period |
R |
1.0278946147126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999502331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41574d1 9594j1 |
Quadratic twists by: -3 13 |