Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968z |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
52679342974464 = 29 · 37 · 196 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105051,13100690] |
[a1,a2,a3,a4,a6] |
Generators |
[418:6498:1] |
Generators of the group modulo torsion |
j |
7301384/3 |
j-invariant |
L |
3.8078420705597 |
L(r)(E,1)/r! |
Ω |
0.6206335220673 |
Real period |
R |
1.5338528904412 |
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 |
103968cg4 34656x4 288b2 |
Quadratic twists by: -4 -3 -19 |