Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800s |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
92900864000 = 212 · 53 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8993,324943] |
[a1,a2,a3,a4,a6] |
Generators |
[43:140:1] |
Generators of the group modulo torsion |
j |
157114339136/181447 |
j-invariant |
L |
3.8209305626435 |
L(r)(E,1)/r! |
Ω |
1.0667413753308 |
Real period |
R |
0.29848929817052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998671006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800q2 128800bg2 |
Quadratic twists by: -4 5 |