Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136be |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
5.9997121003199E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2122157,-163809960] |
[a1,a2,a3,a4,a6] |
Generators |
[-760793711679043593576301844958980:-53453014857680561714693399802382865:2524905738053084708813896186816] |
Generators of the group modulo torsion |
j |
561498015075008512/318729446293629 |
j-invariant |
L |
7.2946920421041 |
L(r)(E,1)/r! |
Ω |
0.13505828468879 |
Real period |
R |
54.011436980876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25284l1 14448bc1 |
Quadratic twists by: -4 -7 |