Atkin-Lehner |
2+ 3+ 7+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41538a |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4101781713372 = -1 · 22 · 34 · 7 · 232 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28339,-1850663] |
[a1,a2,a3,a4,a6] |
j |
-2517104353518918073/4101781713372 |
j-invariant |
L |
1.4716990224349 |
L(r)(E,1)/r! |
Ω |
0.18396237779862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124614q1 |
Quadratic twists by: -3 |