Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138t |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.4879989990481E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -2 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49281917,133563587523] |
[a1,a2,a3,a4,a6] |
Generators |
[14422618:378109971:2744] |
Generators of the group modulo torsion |
j |
-30526075007211889/103499257854 |
j-invariant |
L |
7.9919482553031 |
L(r)(E,1)/r! |
Ω |
0.11421635366896 |
Real period |
R |
8.7465017033227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104bt2 5046a2 522d2 |
Quadratic twists by: -4 -3 29 |