Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15264k |
Isogeny class |
Conductor |
15264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-19782144 = -1 · 29 · 36 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 2 3 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-214] |
[a1,a2,a3,a4,a6] |
Generators |
[50:27:8] |
Generators of the group modulo torsion |
j |
-8/53 |
j-invariant |
L |
5.2155480115825 |
L(r)(E,1)/r! |
Ω |
0.98450180657783 |
Real period |
R |
2.6488260238506 |
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 |
15264c1 30528q1 1696b1 |
Quadratic twists by: -4 8 -3 |