Atkin-Lehner |
3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77319g |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38016000 |
Modular degree for the optimal curve |
Δ |
1.831327367283E+26 |
Discriminant |
Eigenvalues |
0 3- 3 5 11+ -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-270733386,-1586161383777] |
[a1,a2,a3,a4,a6] |
j |
1276695895464378368/106537938947199 |
j-invariant |
L |
2.6939901007802 |
L(r)(E,1)/r! |
Ω |
0.037416529799163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25773p1 77319h1 |
Quadratic twists by: -3 -11 |