Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616en |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2032128 |
Modular degree for the optimal curve |
Δ |
96947015189004288 = 221 · 36 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4411323,-3566133270] |
[a1,a2,a3,a4,a6] |
Generators |
[-75937995245:10415093570:62570773] |
Generators of the group modulo torsion |
j |
551516475321/5632 |
j-invariant |
L |
8.5417126976544 |
L(r)(E,1)/r! |
Ω |
0.10417358406537 |
Real period |
R |
13.665832808911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702br1 8624o1 77616ft1 |
Quadratic twists by: -4 -3 -7 |