Atkin-Lehner |
2+ 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400g |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-229096054068750000 = -1 · 24 · 32 · 58 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-86383,25045012] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:5775:1] [2032:-90750:1] |
Generators of the group modulo torsion |
j |
-285150133221376/916384216275 |
j-invariant |
L |
10.875480451647 |
L(r)(E,1)/r! |
Ω |
0.27563738157552 |
Real period |
R |
1.2329922824624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080v1 |
Quadratic twists by: 5 |