Atkin-Lehner |
2+ 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8214c |
Isogeny class |
Conductor |
8214 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1.3082377081667E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 3 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5433589,7349559853] |
[a1,a2,a3,a4,a6] |
j |
-136511322949/100663296 |
j-invariant |
L |
2.087050057752 |
L(r)(E,1)/r! |
Ω |
0.11594722543067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65712be2 24642u2 8214i2 |
Quadratic twists by: -4 -3 37 |