Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33984bf |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
19026690048 = 214 · 39 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2268,-41040] |
[a1,a2,a3,a4,a6] |
Generators |
[645:16335:1] |
Generators of the group modulo torsion |
j |
4000752/59 |
j-invariant |
L |
6.7345673759493 |
L(r)(E,1)/r! |
Ω |
0.6924313284519 |
Real period |
R |
4.8629857570175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33984c1 8496b1 33984bc1 |
Quadratic twists by: -4 8 -3 |