Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bd |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1893939550781250000 = -1 · 24 · 3 · 514 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-268026,85045948] |
[a1,a2,a3,a4,a6] |
j |
-136280002216368529/121212131250000 |
j-invariant |
L |
1.9256635071672 |
L(r)(E,1)/r! |
Ω |
0.24070793839633 |
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 |
97650ej3 6510o4 |
Quadratic twists by: -3 5 |