Atkin-Lehner |
3- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469r |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-64351126702071279 = -1 · 314 · 77 · 17 · 312 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1107230,-448698589] |
[a1,a2,a3,a4,a6] |
Generators |
[78516:364225:64] |
Generators of the group modulo torsion |
j |
-1275993438638264137/546975551871 |
j-invariant |
L |
10.848393302138 |
L(r)(E,1)/r! |
Ω |
0.073586640780985 |
Real period |
R |
5.2651216817359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067d1 |
Quadratic twists by: -7 |