Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
28200u |
Isogeny class |
Conductor |
28200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52175696400000000 = 210 · 310 · 58 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-476408,-125929188] |
[a1,a2,a3,a4,a6] |
j |
747380527031236/3260981025 |
j-invariant |
L |
3.2718337870746 |
L(r)(E,1)/r! |
Ω |
0.18176854372636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56400v2 84600t2 5640c2 |
Quadratic twists by: -4 -3 5 |