Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752be |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-242177254328871936 = -1 · 210 · 318 · 193 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 3 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250707,-53806178] |
[a1,a2,a3,a4,a6] |
j |
-2334509294836036/324418689891 |
j-invariant |
L |
2.5406809129675 |
L(r)(E,1)/r! |
Ω |
0.1058616989027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584j1 |
Quadratic twists by: -3 |