Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50336s |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-11791510016 = -1 · 29 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 1 1 -3 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,5212] |
[a1,a2,a3,a4,a6] |
Generators |
[57:1936:27] |
Generators of the group modulo torsion |
j |
-8/13 |
j-invariant |
L |
6.3780685901204 |
L(r)(E,1)/r! |
Ω |
1.0237002204909 |
Real period |
R |
3.1152032901799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50336d1 100672bq1 416a1 |
Quadratic twists by: -4 8 -11 |