Atkin-Lehner |
3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78771p |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-7566710830371 = -1 · 39 · 7 · 116 · 31 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 11- -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2743,121160] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-545:1] [-26:181:1] |
Generators of the group modulo torsion |
j |
1287913472/4271211 |
j-invariant |
L |
8.4029208068111 |
L(r)(E,1)/r! |
Ω |
0.52504470393926 |
Real period |
R |
0.44456112995389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
651e1 |
Quadratic twists by: -11 |