Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ds |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-133451615232 = -1 · 210 · 33 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-17576] |
[a1,a2,a3,a4,a6] |
Generators |
[65:507:1] [218:3216:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
10.140091856319 |
L(r)(E,1)/r! |
Ω |
0.47629757866456 |
Real period |
R |
5.3223511474444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344c1 24336ba1 97344ds3 576e1 |
Quadratic twists by: -4 8 -3 13 |