Atkin-Lehner |
3- 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84075m |
Isogeny class |
Conductor |
84075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-1949981689453125 = -1 · 3 · 515 · 192 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 -2 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1584213,-767617458] |
[a1,a2,a3,a4,a6] |
Generators |
[7238311:44732407:4913] |
Generators of the group modulo torsion |
j |
-28141317208833765769/124798828125 |
j-invariant |
L |
4.3772687275988 |
L(r)(E,1)/r! |
Ω |
0.067284657930501 |
Real period |
R |
8.1319963260976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16815a1 |
Quadratic twists by: 5 |