Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680j |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2052864000000 = -1 · 214 · 36 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,612,68688] |
[a1,a2,a3,a4,a6] |
j |
2122416/171875 |
j-invariant |
L |
2.5297768653676 |
L(r)(E,1)/r! |
Ω |
0.63244421634266 |
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 |
31680ct2 3960s2 3520l2 |
Quadratic twists by: -4 8 -3 |