Atkin-Lehner |
2+ 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850n |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-12714343200 = -1 · 25 · 37 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,564,-1622] |
[a1,a2,a3,a4,a6] |
Generators |
[8:54:1] |
Generators of the group modulo torsion |
j |
795659875295/508573728 |
j-invariant |
L |
4.6757757823004 |
L(r)(E,1)/r! |
Ω |
0.7242061052406 |
Real period |
R |
0.46117256167354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850ce1 |
Quadratic twists by: 5 |