Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12992w |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
675168256 = 214 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1084,13680] |
[a1,a2,a3,a4,a6] |
j |
8597884752/41209 |
j-invariant |
L |
1.6219560970537 |
L(r)(E,1)/r! |
Ω |
1.6219560970537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12992j2 3248c2 116928dv2 90944cy2 |
Quadratic twists by: -4 8 -3 -7 |