Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7998k |
Isogeny class |
Conductor |
7998 |
Conductor |
∏ cp |
1875 |
Product of Tamagawa factors cp |
deg |
1080000 |
Modular degree for the optimal curve |
Δ |
-3.5709479879821E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 2 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5355560,7740216896] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:80104:1] |
Generators of the group modulo torsion |
j |
16987848322041430645069439/35709479879821479641088 |
j-invariant |
L |
5.6544615094023 |
L(r)(E,1)/r! |
Ω |
0.080292639524393 |
Real period |
R |
0.93897548482585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
63984r1 23994p1 |
Quadratic twists by: -4 -3 |