Atkin-Lehner |
2+ 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5166l |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-586178674376778 = -1 · 2 · 311 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 1 -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29664,-2278206] |
[a1,a2,a3,a4,a6] |
j |
-3959985141923329/804085973082 |
j-invariant |
L |
0.35985136508293 |
L(r)(E,1)/r! |
Ω |
0.17992568254147 |
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 |
41328cg1 1722p1 129150dc1 36162bk1 |
Quadratic twists by: -4 -3 5 -7 |