Atkin-Lehner |
2+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
118336m |
Isogeny class |
Conductor |
118336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
7755268096 = 222 · 432 |
Discriminant |
Eigenvalues |
2+ 1 3 1 0 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1089,-13537] |
[a1,a2,a3,a4,a6] |
j |
294937/16 |
j-invariant |
L |
3.3352940322183 |
L(r)(E,1)/r! |
Ω |
0.83382357170237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118336bi1 3698b1 118336f1 |
Quadratic twists by: -4 8 -43 |