Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864bf |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-357274423236493312 = -1 · 219 · 119 · 172 |
Discriminant |
Eigenvalues |
2- -2 0 2 11+ -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-843568,299316564] |
[a1,a2,a3,a4,a6] |
j |
-56082417564948625/301817304448 |
j-invariant |
L |
1.2167556189546 |
L(r)(E,1)/r! |
Ω |
0.30418890459702 |
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 |
6358i2 50864bt2 |
Quadratic twists by: -4 17 |