Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50568q |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3508372240128 = -1 · 28 · 32 · 77 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1780,95236] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-258:1] [-44:294:1] |
Generators of the group modulo torsion |
j |
-20720464/116487 |
j-invariant |
L |
6.2126389815504 |
L(r)(E,1)/r! |
Ω |
0.68389130877819 |
Real period |
R |
0.56776556649135 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136p1 7224i1 |
Quadratic twists by: -4 -7 |