Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864bo |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-15922706944077824 = -1 · 212 · 115 · 176 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 11- 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47781,7297357] |
[a1,a2,a3,a4,a6] |
Generators |
[244:3179:1] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
3.8034486488404 |
L(r)(E,1)/r! |
Ω |
0.35381500000257 |
Real period |
R |
1.0749823067946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179c2 176b2 |
Quadratic twists by: -4 17 |