Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488hw |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
24044398608384 = 215 · 34 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161569,24941951] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:7056:1] [-61:5880:1] |
Generators of the group modulo torsion |
j |
120993582536/6237 |
j-invariant |
L |
12.25054048908 |
L(r)(E,1)/r! |
Ω |
0.63597733595494 |
Real period |
R |
4.8156356350695 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000486 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103488gm4 51744u4 14784by3 |
Quadratic twists by: -4 8 -7 |