Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ch |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
13173015984537600 = 216 · 314 · 52 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59052,-118096] |
[a1,a2,a3,a4,a6] |
Generators |
[248:700:1] |
Generators of the group modulo torsion |
j |
476672487844/275726025 |
j-invariant |
L |
5.8501998499437 |
L(r)(E,1)/r! |
Ω |
0.33546759868815 |
Real period |
R |
4.3597353557817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080449 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118080fp2 14760e2 39360i2 |
Quadratic twists by: -4 8 -3 |