Atkin-Lehner |
2- 3- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698bl |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
10227917915712 = 26 · 312 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113405,-14670075] |
[a1,a2,a3,a4,a6] |
j |
221253017454015625/14030065728 |
j-invariant |
L |
3.1219410741653 |
L(r)(E,1)/r! |
Ω |
0.26016175618462 |
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 |
13566d1 |
Quadratic twists by: -3 |