Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650db |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
1056 |
Product of Tamagawa factors cp |
Δ |
-2078932436977032000 = -1 · 26 · 322 · 53 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,159257,-64901623] |
[a1,a2,a3,a4,a6] |
Generators |
[1916:-86251:1] |
Generators of the group modulo torsion |
j |
3573626171578090363/16631459495816256 |
j-invariant |
L |
8.182259151176 |
L(r)(E,1)/r! |
Ω |
0.13175807775095 |
Real period |
R |
0.23522964515504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200fb2 40950cc2 13650s2 95550hu2 |
Quadratic twists by: -4 -3 5 -7 |