Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488k |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54500179968 = 214 · 39 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5340,-149776] |
[a1,a2,a3,a4,a6] |
j |
1409938000/4563 |
j-invariant |
L |
2.234388748701 |
L(r)(E,1)/r! |
Ω |
0.55859718717525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7488bp2 468d2 2496a2 97344y2 |
Quadratic twists by: -4 8 -3 13 |