Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376bn |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9400047501312 = -1 · 217 · 34 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3263,129983] |
[a1,a2,a3,a4,a6] |
j |
29304337246/71716671 |
j-invariant |
L |
2.0342123604653 |
L(r)(E,1)/r! |
Ω |
0.50855308440926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77376k3 19344a4 |
Quadratic twists by: -4 8 |