Atkin-Lehner |
2- 3- 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
73530bb |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
137224627200 = 210 · 38 · 52 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4118,101157] |
[a1,a2,a3,a4,a6] |
Generators |
[23:123:1] [-57:413:1] |
Generators of the group modulo torsion |
j |
10591472326681/188236800 |
j-invariant |
L |
13.882420319269 |
L(r)(E,1)/r! |
Ω |
1.0373508935617 |
Real period |
R |
0.66912846971139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510b1 |
Quadratic twists by: -3 |