Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15264d |
Isogeny class |
Conductor |
15264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-84104339116032 = -1 · 212 · 318 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6204,-479648] |
[a1,a2,a3,a4,a6] |
j |
-8844058432/28166373 |
j-invariant |
L |
4.4636688951062 |
L(r)(E,1)/r! |
Ω |
0.24798160528368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15264n4 30528u1 5088f4 |
Quadratic twists by: -4 8 -3 |