Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864a |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.7469792614975E+22 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57255235,166873159842] |
[a1,a2,a3,a4,a6] |
Generators |
[10326251:-87824946:2197] |
Generators of the group modulo torsion |
j |
-419899962807227250/353398147729 |
j-invariant |
L |
4.7357227563141 |
L(r)(E,1)/r! |
Ω |
0.12218472098267 |
Real period |
R |
9.6896787057525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25432i2 2992b2 |
Quadratic twists by: -4 17 |