Atkin-Lehner |
3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425m |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
489846886962890625 = 38 · 512 · 72 · 792 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-197667,-3158384] |
[a1,a2,a3,a4,a6] |
Generators |
[4862020:77933491:8000] |
Generators of the group modulo torsion |
j |
74985951512809/43004390625 |
j-invariant |
L |
9.8884255248389 |
L(r)(E,1)/r! |
Ω |
0.24574218753984 |
Real period |
R |
10.059755725549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012527 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41475d2 24885i2 |
Quadratic twists by: -3 5 |