Atkin-Lehner |
2- 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77168r |
Isogeny class |
Conductor |
77168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-13611200512 = -1 · 212 · 7 · 132 · 532 |
Discriminant |
Eigenvalues |
2- 2 0 7- 4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112,-5632] |
[a1,a2,a3,a4,a6] |
Generators |
[1082:12561:8] |
Generators of the group modulo torsion |
j |
37595375/3323047 |
j-invariant |
L |
10.472171231122 |
L(r)(E,1)/r! |
Ω |
0.59703444927765 |
Real period |
R |
4.3850782989118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4823a1 |
Quadratic twists by: -4 |