Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75712df |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-38918682370899968 = -1 · 219 · 7 · 139 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -5 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-178689,30643105] |
[a1,a2,a3,a4,a6] |
j |
-226981/14 |
j-invariant |
L |
1.4343850778156 |
L(r)(E,1)/r! |
Ω |
0.35859627568716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712v1 18928bf1 75712cj1 |
Quadratic twists by: -4 8 13 |