Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138w |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4.3305295266204E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3964676562,-96086246480388] |
[a1,a2,a3,a4,a6] |
Generators |
[-79854138:41766174:2197] |
Generators of the group modulo torsion |
j |
285531136548675601769470657/17941034271597192 |
j-invariant |
L |
8.7524438962465 |
L(r)(E,1)/r! |
Ω |
0.019026005390998 |
Real period |
R |
9.5838604806703 |
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 |
97104cb6 36414t6 84966da6 714g5 |
Quadratic twists by: -4 -3 -7 17 |