Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120cc |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-90016332800 = -1 · 210 · 52 · 172 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -2 -5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,879,-10679] |
[a1,a2,a3,a4,a6] |
Generators |
[16:85:1] |
Generators of the group modulo torsion |
j |
73264941824/87906575 |
j-invariant |
L |
3.3010377116938 |
L(r)(E,1)/r! |
Ω |
0.57609826115821 |
Real period |
R |
1.4324977476372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995928144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120t1 31280h1 |
Quadratic twists by: -4 8 |