Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
94800bx |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
9707520000 = 216 · 3 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,11712] |
[a1,a2,a3,a4,a6] |
Generators |
[8:64:1] |
Generators of the group modulo torsion |
j |
44289025/3792 |
j-invariant |
L |
5.9303342039378 |
L(r)(E,1)/r! |
Ω |
1.2605970064844 |
Real period |
R |
1.1760963613147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11850be1 94800cs1 |
Quadratic twists by: -4 5 |