Atkin-Lehner |
2+ 3- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182f |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
11696770008 = 23 · 36 · 72 · 11 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-710,5024] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:103:1] |
Generators of the group modulo torsion |
j |
39502007583193/11696770008 |
j-invariant |
L |
5.2769539973431 |
L(r)(E,1)/r! |
Ω |
1.1812862053154 |
Real period |
R |
0.74452095430648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84546bi2 |
Quadratic twists by: -3 |