Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560q |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2759273164800 = -1 · 212 · 39 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2268,68256] |
[a1,a2,a3,a4,a6] |
j |
16003008/34225 |
j-invariant |
L |
2.2376681890978 |
L(r)(E,1)/r! |
Ω |
0.55941710010217 |
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 |
106560r2 53280c1 106560d2 |
Quadratic twists by: -4 8 -3 |