Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200es |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-321399232000000 = -1 · 212 · 56 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3367,858137] |
[a1,a2,a3,a4,a6] |
Generators |
[16:957:1] |
Generators of the group modulo torsion |
j |
65939264/5021863 |
j-invariant |
L |
10.727146509666 |
L(r)(E,1)/r! |
Ω |
0.41474818694938 |
Real period |
R |
3.2330299622203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200fy1 61600bg1 4928bj1 |
Quadratic twists by: -4 8 5 |