Atkin-Lehner |
2- 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
732b |
Isogeny class |
Conductor |
732 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-1264896 = -1 · 28 · 34 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 -5 5 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100,424] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-18:1] |
Generators of the group modulo torsion |
j |
-436334416/4941 |
j-invariant |
L |
1.9306520941554 |
L(r)(E,1)/r! |
Ω |
2.7343523121622 |
Real period |
R |
0.11767881834198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2928n1 11712i1 2196e1 18300l1 |
Quadratic twists by: -4 8 -3 5 |