Atkin-Lehner |
2- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77168h |
Isogeny class |
Conductor |
77168 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-36633270128 = -1 · 24 · 7 · 133 · 533 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,422,-8725] |
[a1,a2,a3,a4,a6] |
Generators |
[73:637:1] |
Generators of the group modulo torsion |
j |
518216864000/2289579383 |
j-invariant |
L |
4.8251306468434 |
L(r)(E,1)/r! |
Ω |
0.58436874048767 |
Real period |
R |
2.7523321690029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19292d2 |
Quadratic twists by: -4 |