Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150el |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-3.5929420153667E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-615980,-343059353] |
[a1,a2,a3,a4,a6] |
j |
-84044939142627/116825833960 |
j-invariant |
L |
5.8386146255991 |
L(r)(E,1)/r! |
Ω |
0.081091869194496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150b2 16830m4 |
Quadratic twists by: -3 5 |