Atkin-Lehner |
2- 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
42570v |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
342179580971250 = 2 · 314 · 54 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5494748,-4956206403] |
[a1,a2,a3,a4,a6] |
j |
25167463564736957591161/469382141250 |
j-invariant |
L |
2.3665945395339 |
L(r)(E,1)/r! |
Ω |
0.098608105818057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190d4 |
Quadratic twists by: -3 |