Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960s |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-34408172431360000 = -1 · 214 · 54 · 76 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52283,-10040982] |
[a1,a2,a3,a4,a6] |
Generators |
[50421:2160802:27] |
Generators of the group modulo torsion |
j |
-32798729601/71402500 |
j-invariant |
L |
4.2406775571359 |
L(r)(E,1)/r! |
Ω |
0.14785155239812 |
Real period |
R |
7.1704988691356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370l4 1040f4 |
Quadratic twists by: -4 -7 |