Atkin-Lehner |
2+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150a |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
3698562500 = 22 · 56 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-992,11916] |
[a1,a2,a3,a4,a6] |
Generators |
[14:18:1] |
Generators of the group modulo torsion |
j |
6913292625/236708 |
j-invariant |
L |
2.6444825981891 |
L(r)(E,1)/r! |
Ω |
1.3914412745398 |
Real period |
R |
0.95026741212819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2006i1 |
Quadratic twists by: 5 |