Atkin-Lehner |
2+ 3+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550l |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1827840 |
Modular degree for the optimal curve |
Δ |
238541472000000000 = 214 · 32 · 59 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2172950,1231756500] |
[a1,a2,a3,a4,a6] |
j |
580955924718082997/122133233664 |
j-invariant |
L |
1.2171257818511 |
L(r)(E,1)/r! |
Ω |
0.30428144596461 |
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 |
56550ce1 |
Quadratic twists by: 5 |