Atkin-Lehner |
3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771r |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-382118121 = -1 · 33 · 73 · 113 · 31 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 11+ 0 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,168,441] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-126:1] |
Generators of the group modulo torsion |
j |
393832837/287091 |
j-invariant |
L |
3.1219401749433 |
L(r)(E,1)/r! |
Ω |
1.0772267428437 |
Real period |
R |
0.16100706931035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78771k1 |
Quadratic twists by: -11 |