Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9150j |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1563363281250000 = 24 · 38 · 512 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2033333376,-35290928337602] |
[a1,a2,a3,a4,a6] |
Generators |
[-159289147097087:79641889456899:6118445789] |
Generators of the group modulo torsion |
j |
59501710967615564842432531441/100055250000 |
j-invariant |
L |
3.7876785387294 |
L(r)(E,1)/r! |
Ω |
0.022482645223177 |
Real period |
R |
10.529450886257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200bq6 27450bq6 1830g5 |
Quadratic twists by: -4 -3 5 |