Atkin-Lehner |
2+ 3+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33984c |
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 |
[-20:280:1] |
Generators of the group modulo torsion |
j |
4000752/59 |
j-invariant |
L |
8.2868859889597 |
L(r)(E,1)/r! |
Ω |
1.2247373638871 |
Real period |
R |
3.3831277763336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33984bf1 4248b1 33984f1 |
Quadratic twists by: -4 8 -3 |