Atkin-Lehner |
2- 3- 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870bc |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
-1.5634307988062E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,922012,495537031] |
[a1,a2,a3,a4,a6] |
Generators |
[-425:5387:1] [541:-34219:1] |
Generators of the group modulo torsion |
j |
118906705297570472199/214462386667520000 |
j-invariant |
L |
13.944594790673 |
L(r)(E,1)/r! |
Ω |
0.12519065911779 |
Real period |
R |
0.38675994082962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430d1 |
Quadratic twists by: -3 |