Atkin-Lehner |
2- 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59202bb |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57443641398 = 2 · 38 · 114 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-258359,-50480935] |
[a1,a2,a3,a4,a6] |
Generators |
[-11525856860:5732856999:39304000] |
Generators of the group modulo torsion |
j |
2616166574565587497/78797862 |
j-invariant |
L |
9.6310183560305 |
L(r)(E,1)/r! |
Ω |
0.21175993162474 |
Real period |
R |
11.370208568324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19734i3 |
Quadratic twists by: -3 |