Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15138l |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-18643241926656 = -1 · 220 · 36 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 5 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3366,-194508] |
[a1,a2,a3,a4,a6] |
Generators |
[10580:98646:125] |
Generators of the group modulo torsion |
j |
237176659/1048576 |
j-invariant |
L |
4.0746895558653 |
L(r)(E,1)/r! |
Ω |
0.34763515513239 |
Real period |
R |
2.9302916403215 |
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 |
121104cp2 1682i2 15138bc2 |
Quadratic twists by: -4 -3 29 |