Atkin-Lehner |
3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50127j |
Isogeny class |
Conductor |
50127 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-538525705699179891 = -1 · 35 · 79 · 116 · 31 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11+ -1 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16235,35310608] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:5989:1] |
Generators of the group modulo torsion |
j |
-11728027648/13345169013 |
j-invariant |
L |
6.3437444183754 |
L(r)(E,1)/r! |
Ω |
0.23583602759645 |
Real period |
R |
1.3449481156561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50127e1 |
Quadratic twists by: -7 |