Atkin-Lehner |
2- 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110ci |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
9104448826379610000 = 24 · 36 · 54 · 116 · 893 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-531482,34283081] |
[a1,a2,a3,a4,a6] |
j |
22775142322892242009/12488955866090000 |
j-invariant |
L |
3.2148732185854 |
L(r)(E,1)/r! |
Ω |
0.20092957388187 |
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 |
9790d1 |
Quadratic twists by: -3 |