Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84050a |
Isogeny class |
Conductor |
84050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.1939700916484E+23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-918947542,-10721942959884] |
[a1,a2,a3,a4,a6] |
Generators |
[-907615644505406484:379680245953003242:51932690894629] |
Generators of the group modulo torsion |
j |
1156305808919628801/4303360000 |
j-invariant |
L |
5.0800768333169 |
L(r)(E,1)/r! |
Ω |
0.027420601137126 |
Real period |
R |
23.158121207119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999965921 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16810f2 2050a2 |
Quadratic twists by: 5 41 |