Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dr |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-5587050168000 = -1 · 26 · 37 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1029,-113355] |
[a1,a2,a3,a4,a6] |
Generators |
[164:2107:1] |
Generators of the group modulo torsion |
j |
1880908803584/87297658875 |
j-invariant |
L |
5.3619109231663 |
L(r)(E,1)/r! |
Ω |
0.36466282304989 |
Real period |
R |
2.9407499357861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000104121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680fb1 63840x1 |
Quadratic twists by: -4 8 |