Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968z |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
421434743795712 = 212 · 37 · 196 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56316,-5048224] |
[a1,a2,a3,a4,a6] |
Generators |
[26372:413345:64] |
Generators of the group modulo torsion |
j |
140608/3 |
j-invariant |
L |
3.8078420705597 |
L(r)(E,1)/r! |
Ω |
0.31031676103365 |
Real period |
R |
6.1354115617647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999570602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968cg3 34656x3 288b3 |
Quadratic twists by: -4 -3 -19 |