Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376bn |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
19808256 = 214 · 3 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1617,24495] |
[a1,a2,a3,a4,a6] |
j |
28556329552/1209 |
j-invariant |
L |
2.0342123604653 |
L(r)(E,1)/r! |
Ω |
2.0342123376371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376k1 19344a1 |
Quadratic twists by: -4 8 |