Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gq |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-932939628544000 = -1 · 219 · 53 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21740,1918800] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1760:1] |
Generators of the group modulo torsion |
j |
-34677868581/28471058 |
j-invariant |
L |
4.1838729863851 |
L(r)(E,1)/r! |
Ω |
0.45527594791117 |
Real period |
R |
1.1487189957388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999878191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200do2 30800ck2 123200hl2 |
Quadratic twists by: -4 8 5 |