Atkin-Lehner |
2- 3- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642ca |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-4.8199229922951E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2926597,2727585515] |
[a1,a2,a3,a4,a6] |
Generators |
[11979:1319386:1] |
Generators of the group modulo torsion |
j |
3802638948571547262359/6611691347455574016 |
j-invariant |
L |
9.7616158404573 |
L(r)(E,1)/r! |
Ω |
0.093878843389445 |
Real period |
R |
0.054156769740691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214k1 |
Quadratic twists by: -3 |