Atkin-Lehner |
2- 3+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119196f |
Isogeny class |
Conductor |
119196 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22205905843968 = 28 · 39 · 7 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42255,3335526] |
[a1,a2,a3,a4,a6] |
Generators |
[1010:917:8] |
Generators of the group modulo torsion |
j |
1655872038000/4406941 |
j-invariant |
L |
7.5347392429616 |
L(r)(E,1)/r! |
Ω |
0.68030626771208 |
Real period |
R |
5.537755227631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119196d2 |
Quadratic twists by: -3 |