Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2220b |
Isogeny class |
Conductor |
2220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
2427570000 = 24 · 38 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7681,-256550] |
[a1,a2,a3,a4,a6] |
j |
3132662187311104/151723125 |
j-invariant |
L |
1.5298995557495 |
L(r)(E,1)/r! |
Ω |
0.50996651858316 |
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 |
8880y1 35520bm1 6660d1 11100l1 |
Quadratic twists by: -4 8 -3 5 |