Atkin-Lehner |
3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319n |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
800737340386895109 = 314 · 119 · 71 |
Discriminant |
Eigenvalues |
-2 3- 1 1 11+ -1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-235587,9139644] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:5989:1] |
Generators of the group modulo torsion |
j |
841232384/465831 |
j-invariant |
L |
3.1984280453978 |
L(r)(E,1)/r! |
Ω |
0.24538366722596 |
Real period |
R |
1.6292995783648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25773l1 77319m1 |
Quadratic twists by: -3 -11 |