Atkin-Lehner |
2+ 3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920u |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
55261440 = 28 · 34 · 5 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-900,-10692] |
[a1,a2,a3,a4,a6] |
Generators |
[63:432:1] |
Generators of the group modulo torsion |
j |
315278049616/215865 |
j-invariant |
L |
5.7378530951319 |
L(r)(E,1)/r! |
Ω |
0.87159869484094 |
Real period |
R |
3.2915681746255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960l1 |
Quadratic twists by: -4 |