Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968bk |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20480864256 = 212 · 36 · 193 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:45:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
9.0882980858222 |
L(r)(E,1)/r! |
Ω |
1.0254351271331 |
Real period |
R |
2.2157174642781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968bk2 11552a2 103968i2 |
Quadratic twists by: -4 -3 -19 |