Atkin-Lehner |
2+ 3- 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214k |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4348381753966572 = -1 · 22 · 311 · 72 · 194 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,31968,2278012] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:794:1] [84:2314:1] |
Generators of the group modulo torsion |
j |
4956041584037375/5964858373068 |
j-invariant |
L |
8.227727678532 |
L(r)(E,1)/r! |
Ω |
0.29223380115067 |
Real period |
R |
0.87983145325612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24738k2 |
Quadratic twists by: -3 |