Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12992j |
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 |
3.3291050420398 |
L(r)(E,1)/r! |
Ω |
0.83227626050995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12992w2 1624e2 116928cl2 90944n2 |
Quadratic twists by: -4 8 -3 -7 |