Atkin-Lehner |
3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49725f |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10369818544921875 = -1 · 37 · 510 · 134 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,41395,3663272] |
[a1,a2,a3,a4,a6] |
j |
688699320191/910381875 |
j-invariant |
L |
2.1893592554603 |
L(r)(E,1)/r! |
Ω |
0.27366990696921 |
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 |
16575h4 9945k4 |
Quadratic twists by: -3 5 |