Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150q |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6593270551875000000 = -1 · 26 · 37 · 510 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17398242,27936888916] |
[a1,a2,a3,a4,a6] |
j |
-81811104611115625/926132928 |
j-invariant |
L |
1.7220869823159 |
L(r)(E,1)/r! |
Ω |
0.21526086989355 |
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 |
43050bi2 129150dv2 |
Quadratic twists by: -3 5 |