Atkin-Lehner |
2+ 7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
63784f |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
4892160 |
Modular degree for the optimal curve |
Δ |
-1.5205364159803E+23 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 3 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5922729,-19566113509] |
[a1,a2,a3,a4,a6] |
Generators |
[4639:229810:1] |
Generators of the group modulo torsion |
j |
-89753089064715507530752/593959537492319807291 |
j-invariant |
L |
6.5035616595357 |
L(r)(E,1)/r! |
Ω |
0.043066289944074 |
Real period |
R |
0.67416435089082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568a1 |
Quadratic twists by: -4 |