Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84050d |
Isogeny class |
Conductor |
84050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.2476445670502E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -2 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2688724,92128698] |
[a1,a2,a3,a4,a6] |
Generators |
[386:34267:1] |
Generators of the group modulo torsion |
j |
28962726911/16810000 |
j-invariant |
L |
1.4419062910034 |
L(r)(E,1)/r! |
Ω |
0.092208574174156 |
Real period |
R |
1.9546803377816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16810e2 2050c2 |
Quadratic twists by: 5 41 |