Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078dj |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-217245476448 = -1 · 25 · 32 · 74 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2454,-52092] |
[a1,a2,a3,a4,a6] |
Generators |
[66:240:1] |
Generators of the group modulo torsion |
j |
-57224899537/7606368 |
j-invariant |
L |
11.486162482483 |
L(r)(E,1)/r! |
Ω |
0.33666325213509 |
Real period |
R |
0.28431383605083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078y1 |
Quadratic twists by: 13 |