Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064o |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-261125192560752 = -1 · 24 · 34 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -2 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17632,-1184327] |
[a1,a2,a3,a4,a6] |
j |
-7850060032/3381183 |
j-invariant |
L |
1.6231739428629 |
L(r)(E,1)/r! |
Ω |
0.20289674236298 |
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 |
5928d1 |
Quadratic twists by: 13 |