Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43316q |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-55752196864 = -1 · 28 · 73 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 4 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13421,-594103] |
[a1,a2,a3,a4,a6] |
j |
-3044925104128/634933 |
j-invariant |
L |
2.661316070724 |
L(r)(E,1)/r! |
Ω |
0.22177633922767 |
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 |
43316k1 |
Quadratic twists by: -7 |