Atkin-Lehner |
5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
121835i |
Isogeny class |
Conductor |
121835 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5324160 |
Modular degree for the optimal curve |
Δ |
-1.7889086365522E+19 |
Discriminant |
Eigenvalues |
-2 -1 5- 7+ 0 -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4039120,3132450016] |
[a1,a2,a3,a4,a6] |
Generators |
[13546:270705:8] |
Generators of the group modulo torsion |
j |
-14258176/35 |
j-invariant |
L |
1.8666847024008 |
L(r)(E,1)/r! |
Ω |
0.21893926691729 |
Real period |
R |
8.5260389833041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998804728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121835h1 |
Quadratic twists by: -59 |