Atkin-Lehner |
2+ 3- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642r |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2571780465072 = -1 · 24 · 311 · 7 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-756,77760] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-558:1] |
Generators of the group modulo torsion |
j |
-65597103937/3527819568 |
j-invariant |
L |
5.828240701875 |
L(r)(E,1)/r! |
Ω |
0.67217048296396 |
Real period |
R |
0.36128239611647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214bb1 |
Quadratic twists by: -3 |