Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688x |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.1639818053534E+23 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 2 1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15587173920,749024758284276] |
[a1,a2,a3,a4,a6] |
Generators |
[34526436978210:42022603385497504:23149125] |
Generators of the group modulo torsion |
j |
-21525971829968662032241/11122195296 |
j-invariant |
L |
9.5030108375749 |
L(r)(E,1)/r! |
Ω |
0.060838897862252 |
Real period |
R |
19.524948617353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086m2 1968h2 |
Quadratic twists by: -4 41 |