Atkin-Lehner |
2+ 3- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23970k |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-22416493513500 = -1 · 22 · 35 · 53 · 174 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8423,374006] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:802:1] |
Generators of the group modulo torsion |
j |
-66076950810920041/22416493513500 |
j-invariant |
L |
4.9542872955666 |
L(r)(E,1)/r! |
Ω |
0.63938014658909 |
Real period |
R |
0.12914297600043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910x1 119850bp1 |
Quadratic twists by: -3 5 |