Atkin-Lehner |
3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50127p |
Isogeny class |
Conductor |
50127 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-83405964411 = -1 · 33 · 77 · 112 · 31 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 11+ 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,278,-13688] |
[a1,a2,a3,a4,a6] |
Generators |
[20:16:1] [86:808:1] |
Generators of the group modulo torsion |
j |
20123648/708939 |
j-invariant |
L |
5.0884261433242 |
L(r)(E,1)/r! |
Ω |
0.51985322418039 |
Real period |
R |
0.40784157164002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161a1 |
Quadratic twists by: -7 |