Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040ba |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-78110625400151040 = -1 · 210 · 37 · 5 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104907,-18757834] |
[a1,a2,a3,a4,a6] |
Generators |
[4128963246320:217579655009331:1466003456] |
Generators of the group modulo torsion |
j |
-7086244/4335 |
j-invariant |
L |
8.6377019185848 |
L(r)(E,1)/r! |
Ω |
0.12904346840711 |
Real period |
R |
16.734093570982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680be1 6120h1 |
Quadratic twists by: -3 17 |