Atkin-Lehner |
2- 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456bk |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1305600 |
Modular degree for the optimal curve |
Δ |
-250261188848529408 = -1 · 212 · 323 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 7 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,156624,-3178064] |
[a1,a2,a3,a4,a6] |
j |
142302054182912/83811965787 |
j-invariant |
L |
3.2924920404198 |
L(r)(E,1)/r! |
Ω |
0.18291621877525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5841j1 31152be1 |
Quadratic twists by: -4 -3 |