Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040cz |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
401160742795837440 = 215 · 33 · 5 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1225920,-521965260] |
[a1,a2,a3,a4,a6] |
Generators |
[-636:930:1] |
Generators of the group modulo torsion |
j |
49745123032831462081/97939634471640 |
j-invariant |
L |
7.2913157258481 |
L(r)(E,1)/r! |
Ω |
0.14349453449835 |
Real period |
R |
4.2343748209138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630s4 |
Quadratic twists by: -4 |