Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
47040fr |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-2176139510415360 = -1 · 223 · 32 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 -7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112961,14746815] |
[a1,a2,a3,a4,a6] |
Generators |
[751:18816:1] |
Generators of the group modulo torsion |
j |
-105484561/1440 |
j-invariant |
L |
5.7983820420694 |
L(r)(E,1)/r! |
Ω |
0.46430975191205 |
Real period |
R |
0.52034067937976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040a1 11760bt1 47040fc1 |
Quadratic twists by: -4 8 -7 |