Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15912h |
Isogeny class |
Conductor |
15912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
494926848 = 210 · 37 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127299,-17481778] |
[a1,a2,a3,a4,a6] |
Generators |
[59602:5138525:8] |
Generators of the group modulo torsion |
j |
305612563186948/663 |
j-invariant |
L |
5.2216238980634 |
L(r)(E,1)/r! |
Ω |
0.25275124686691 |
Real period |
R |
10.329570996761 |
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 |
31824n4 127296j4 5304k4 |
Quadratic twists by: -4 8 -3 |