Atkin-Lehner |
3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975bd |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9428625 = 32 · 53 · 172 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 -4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-768,8127] |
[a1,a2,a3,a4,a6] |
Generators |
[3:75:1] |
Generators of the group modulo torsion |
j |
400804604117/75429 |
j-invariant |
L |
4.5236916326679 |
L(r)(E,1)/r! |
Ω |
2.235171529 |
Real period |
R |
1.0119338882886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925cc2 36975s2 |
Quadratic twists by: -3 5 |