Atkin-Lehner |
2- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29512g |
Isogeny class |
Conductor |
29512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3151076091225638912 = 211 · 78 · 172 · 314 |
Discriminant |
Eigenvalues |
2- -2 0 7+ -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13075088,-18201797600] |
[a1,a2,a3,a4,a6] |
Generators |
[-2084647100:-360469333:1000000] |
Generators of the group modulo torsion |
j |
120705665422771240969250/1538611372668769 |
j-invariant |
L |
2.6444543366547 |
L(r)(E,1)/r! |
Ω |
0.079394191216288 |
Real period |
R |
8.3269767477403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59024d2 |
Quadratic twists by: -4 |