Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640db |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
1149120 |
Modular degree for the optimal curve |
Δ |
-60586830656362800 = -1 · 24 · 319 · 52 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1877681,-991029006] |
[a1,a2,a3,a4,a6] |
Generators |
[4414:277020:1] |
Generators of the group modulo torsion |
j |
-351119534556135424/29056536675 |
j-invariant |
L |
9.407487134019 |
L(r)(E,1)/r! |
Ω |
0.06448547906065 |
Real period |
R |
1.279696113298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660c1 86640cd1 |
Quadratic twists by: -4 -19 |