Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900d |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7894908000000 = 28 · 34 · 56 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75108,7946712] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:3658:1] |
Generators of the group modulo torsion |
j |
11714617043152/1973727 |
j-invariant |
L |
5.1979030399183 |
L(r)(E,1)/r! |
Ω |
0.71585258362502 |
Real period |
R |
3.6305681258453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997962492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4956c2 |
Quadratic twists by: 5 |