Atkin-Lehner |
2- 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040bk |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
184137859727360000 = 222 · 54 · 72 · 11 · 194 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-940136,-350565836] |
[a1,a2,a3,a4,a6] |
Generators |
[-548:602:1] |
Generators of the group modulo torsion |
j |
22435527010065677929/44955532160000 |
j-invariant |
L |
2.3692973579014 |
L(r)(E,1)/r! |
Ω |
0.15333952909396 |
Real period |
R |
3.8628287867658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998707143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630d2 |
Quadratic twists by: -4 |