Atkin-Lehner |
2+ 3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
54120g |
Isogeny class |
Conductor |
54120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
355027200 = 28 · 3 · 52 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220,800] |
[a1,a2,a3,a4,a6] |
Generators |
[40:240:1] |
Generators of the group modulo torsion |
j |
4620876496/1386825 |
j-invariant |
L |
7.2354814573556 |
L(r)(E,1)/r! |
Ω |
1.5793446074903 |
Real period |
R |
2.2906594998541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108240g1 |
Quadratic twists by: -4 |