Atkin-Lehner |
2- 3- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
28182v |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
28182 = 2 · 3 · 7 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-150304,22416170] |
[a1,a2,a3,a4,a6] |
Generators |
[15220:15955:64] |
Generators of the group modulo torsion |
j |
375522106309680185857/28182 |
j-invariant |
L |
8.8289420934362 |
L(r)(E,1)/r! |
Ω |
1.4327928015781 |
Real period |
R |
6.162050844834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84546ba4 |
Quadratic twists by: -3 |