Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
60984p |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1136763068281982064 = -1 · 24 · 327 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11+ -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93489,-50103317] |
[a1,a2,a3,a4,a6] |
j |
5820759945472/73222472421 |
j-invariant |
L |
2.1576681418582 |
L(r)(E,1)/r! |
Ω |
0.13485425903437 |
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 |
121968bt1 20328v1 60984cc1 |
Quadratic twists by: -4 -3 -11 |