Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280s |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-340092518400 = -1 · 219 · 33 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,18864] |
[a1,a2,a3,a4,a6] |
j |
45499293/48050 |
j-invariant |
L |
2.5440045465468 |
L(r)(E,1)/r! |
Ω |
0.63600114790471 |
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 |
89280dx2 2790o2 89280g2 |
Quadratic twists by: -4 8 -3 |