Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20475bd |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
48107824857421875 = 36 · 59 · 7 · 136 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -6 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-93492,-3091959] |
[a1,a2,a3,a4,a6] |
Generators |
[-3500:88919:64] |
Generators of the group modulo torsion |
j |
63473450669/33787663 |
j-invariant |
L |
4.9341675517189 |
L(r)(E,1)/r! |
Ω |
0.29010592755372 |
Real period |
R |
8.5040791708837 |
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 |
2275f2 20475bi2 |
Quadratic twists by: -3 5 |