Atkin-Lehner |
2+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55738b |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-166409276097188392 = -1 · 23 · 293 · 318 |
Discriminant |
Eigenvalues |
2+ -2 0 2 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,114819,12696224] |
[a1,a2,a3,a4,a6] |
Generators |
[-6412:31043:64] |
Generators of the group modulo torsion |
j |
196280375/195112 |
j-invariant |
L |
2.6368897072519 |
L(r)(E,1)/r! |
Ω |
0.21235249598483 |
Real period |
R |
4.1391707297233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738j2 |
Quadratic twists by: -31 |