Atkin-Lehner |
3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50127k |
Isogeny class |
Conductor |
50127 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-200257720550811 = -1 · 33 · 711 · 112 · 31 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11+ -3 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3495,684317] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-809:1] |
Generators of the group modulo torsion |
j |
-40142209024/1702162539 |
j-invariant |
L |
5.9455598793502 |
L(r)(E,1)/r! |
Ω |
0.46914950482757 |
Real period |
R |
1.0560883432296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161d1 |
Quadratic twists by: -7 |