Atkin-Lehner |
2+ 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050w |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
944193250 = 2 · 53 · 74 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-637,6171] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:83:1] |
Generators of the group modulo torsion |
j |
228884003613/7553546 |
j-invariant |
L |
3.7982162578545 |
L(r)(E,1)/r! |
Ω |
1.5599473714134 |
Real period |
R |
1.2174180768711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50050cb2 |
Quadratic twists by: 5 |