Atkin-Lehner |
2+ 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078f |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-6.0091786778339E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19967860,-36320604848] |
[a1,a2,a3,a4,a6] |
j |
-182414014585448388625/12449588698939392 |
j-invariant |
L |
1.2805099587833 |
L(r)(E,1)/r! |
Ω |
0.035569721015558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006u1 |
Quadratic twists by: 13 |