Atkin-Lehner |
5+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31175a |
Isogeny class |
Conductor |
31175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-639435070075 = -1 · 52 · 296 · 43 |
Discriminant |
Eigenvalues |
0 2 5+ 4 0 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4003,-103477] |
[a1,a2,a3,a4,a6] |
Generators |
[14846569707:-89813072447:160103007] |
Generators of the group modulo torsion |
j |
-283823898787840/25577402803 |
j-invariant |
L |
7.4086077959463 |
L(r)(E,1)/r! |
Ω |
0.29856534466418 |
Real period |
R |
12.407012281146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31175c2 |
Quadratic twists by: 5 |