Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10640v |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-181394073461063680 = -1 · 217 · 5 · 79 · 193 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 3 -7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,140240,-3405888] |
[a1,a2,a3,a4,a6] |
Generators |
[13345166034:-586257821718:7189057] |
Generators of the group modulo torsion |
j |
74469146542554959/44285662466080 |
j-invariant |
L |
6.531829919714 |
L(r)(E,1)/r! |
Ω |
0.18709732949315 |
Real period |
R |
17.455700563468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1330j2 42560cg2 95760dc2 53200cm2 |
Quadratic twists by: -4 8 -3 5 |