Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15264n |
Isogeny class |
Conductor |
15264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
534117888 = 29 · 39 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-137379,19598762] |
[a1,a2,a3,a4,a6] |
Generators |
[56478:2545010:27] |
Generators of the group modulo torsion |
j |
768222946338056/1431 |
j-invariant |
L |
5.2130520161427 |
L(r)(E,1)/r! |
Ω |
1.065976568525 |
Real period |
R |
9.7808003854269 |
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 |
15264d2 30528v4 5088b2 |
Quadratic twists by: -4 8 -3 |