Atkin-Lehner |
2- 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150dz |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-80074872675000000 = -1 · 26 · 313 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10805,-13618803] |
[a1,a2,a3,a4,a6] |
j |
-489860905/281195712 |
j-invariant |
L |
3.6987304514855 |
L(r)(E,1)/r! |
Ω |
0.15411382523987 |
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 |
43050k1 129150v1 |
Quadratic twists by: -3 5 |