Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bw |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
192816242640 = 24 · 310 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1578,11653] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:189:1] [-18:185:1] |
Generators of the group modulo torsion |
j |
37256083456/16530885 |
j-invariant |
L |
8.6096105608579 |
L(r)(E,1)/r! |
Ω |
0.9056048278053 |
Real period |
R |
1.1883785146279 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680p1 14280bc1 |
Quadratic twists by: -4 -3 |