Atkin-Lehner |
2- 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
40590be |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-18238357467000 = -1 · 23 · 37 · 53 · 112 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-221209988,1266409548767] |
[a1,a2,a3,a4,a6] |
j |
-1642140750896013526054039801/25018323000 |
j-invariant |
L |
1.9300858792201 |
L(r)(E,1)/r! |
Ω |
0.24126073489835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13530j2 |
Quadratic twists by: -3 |