Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840k |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-341499595104000 = -1 · 28 · 37 · 53 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25383,1792582] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:1692:1] |
Generators of the group modulo torsion |
j |
-9691367618896/1829880375 |
j-invariant |
L |
4.3469602094271 |
L(r)(E,1)/r! |
Ω |
0.51847289362102 |
Real period |
R |
1.0480201238362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16920e1 11280h1 |
Quadratic twists by: -4 -3 |