Atkin-Lehner |
2- 3+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38064w |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-4053663744 = -1 · 217 · 3 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 4 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5824,173056] |
[a1,a2,a3,a4,a6] |
Generators |
[0:416:1] |
Generators of the group modulo torsion |
j |
-5334607002817/989664 |
j-invariant |
L |
6.4095482941462 |
L(r)(E,1)/r! |
Ω |
1.3481620571559 |
Real period |
R |
0.59428577782308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4758j1 114192bx1 |
Quadratic twists by: -4 -3 |