Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192z |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-131970960543744 = -1 · 212 · 35 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 2 -1 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8689,-631679] |
[a1,a2,a3,a4,a6] |
j |
-3072832/5589 |
j-invariant |
L |
3.7301051042983 |
L(r)(E,1)/r! |
Ω |
0.23313157610687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192p1 108192bv1 |
Quadratic twists by: -4 -7 |