Atkin-Lehner |
2- 3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008bf |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1036677680914563072 = 216 · 312 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-262080,-16257024] |
[a1,a2,a3,a4,a6] |
Generators |
[-406:4802:1] |
Generators of the group modulo torsion |
j |
486034459476995521/253095136942032 |
j-invariant |
L |
2.5252308582268 |
L(r)(E,1)/r! |
Ω |
0.2234298875782 |
Real period |
R |
2.8255293886344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626s2 |
Quadratic twists by: -4 |