Atkin-Lehner |
2- 3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960bx |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
712535040000 = 213 · 32 · 54 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10360,-400400] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:40:1] |
Generators of the group modulo torsion |
j |
30025133704441/173958750 |
j-invariant |
L |
5.9236301049104 |
L(r)(E,1)/r! |
Ω |
0.47337754329062 |
Real period |
R |
0.7820964190048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870l2 |
Quadratic twists by: -4 |