Atkin-Lehner |
2- 5+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760be |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-648858828800 = -1 · 224 · 52 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,944,36800] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:70:1] [56:512:1] |
Generators of the group modulo torsion |
j |
22689222191/158412800 |
j-invariant |
L |
9.6937820500511 |
L(r)(E,1)/r! |
Ω |
0.6619919765255 |
Real period |
R |
1.8304190983396 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15470k1 |
Quadratic twists by: -4 |