Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296dk |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28326889500672 = 212 · 3 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4528504,-3710709868] |
[a1,a2,a3,a4,a6] |
Generators |
[75117:1953010:27] |
Generators of the group modulo torsion |
j |
53297461115137/147 |
j-invariant |
L |
6.2506417649117 |
L(r)(E,1)/r! |
Ω |
0.10349297178752 |
Real period |
R |
7.5495969563219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999785301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7581b5 336e5 |
Quadratic twists by: -4 -19 |