Atkin-Lehner |
2- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81700d |
Isogeny class |
Conductor |
81700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-750661862068750000 = -1 · 24 · 58 · 19 · 436 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3312633,-2319912238] |
[a1,a2,a3,a4,a6] |
Generators |
[34115841076620632845135242:26294479271852938926976924750:57429400943477497221] |
Generators of the group modulo torsion |
j |
-16080657658952728576/3002647448275 |
j-invariant |
L |
11.942077433647 |
L(r)(E,1)/r! |
Ω |
0.055952739142416 |
Real period |
R |
35.571917823316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16340e3 |
Quadratic twists by: 5 |