Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bs |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-4741140867701760 = -1 · 210 · 39 · 5 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9747,-3333474] |
[a1,a2,a3,a4,a6] |
j |
-108/5 |
j-invariant |
L |
0.75983738691282 |
L(r)(E,1)/r! |
Ω |
0.18995977005299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129960d1 360c1 |
Quadratic twists by: -3 -19 |