Atkin-Lehner |
2+ 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
118720i |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-15107476160 = -1 · 26 · 5 · 75 · 532 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -5 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,5893] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:73:1] |
Generators of the group modulo torsion |
j |
-1073741824/236054315 |
j-invariant |
L |
6.957300489841 |
L(r)(E,1)/r! |
Ω |
1.0156208895912 |
Real period |
R |
3.4251464074553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118720bf1 1855a1 |
Quadratic twists by: -4 8 |