Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200gy |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-67040380425000000 = -1 · 26 · 3 · 58 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 3 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142708,-24154838] |
[a1,a2,a3,a4,a6] |
Generators |
[232510500615909657566756992406844919803:25316473581528926139499970534878565095054:19590169154203669537656569730003821] |
Generators of the group modulo torsion |
j |
-12856765000000/2681615217 |
j-invariant |
L |
7.535287462273 |
L(r)(E,1)/r! |
Ω |
0.12145742993695 |
Real period |
R |
62.040564057583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200jl1 45600y1 91200hw1 |
Quadratic twists by: -4 8 5 |