Atkin-Lehner |
2- 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
81650k |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
734976 |
Modular degree for the optimal curve |
Δ |
-7598440448000000 = -1 · 222 · 56 · 23 · 712 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 2 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,43320,2343947] |
[a1,a2,a3,a4,a6] |
j |
575411355984375/486300188672 |
j-invariant |
L |
5.9472326235635 |
L(r)(E,1)/r! |
Ω |
0.27032875595331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3266b1 |
Quadratic twists by: 5 |