Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13248d |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
55272857075712 = 216 · 313 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1679340,-837637328] |
[a1,a2,a3,a4,a6] |
j |
10963069081334500/1156923 |
j-invariant |
L |
0.53048717709999 |
L(r)(E,1)/r! |
Ω |
0.132621794275 |
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 |
13248bl2 1656d2 4416k2 |
Quadratic twists by: -4 8 -3 |