Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54910m |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
54910 = 2 · 5 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -5 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82,254] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-2:1] |
Generators of the group modulo torsion |
j |
215038729/190 |
j-invariant |
L |
2.5420977800505 |
L(r)(E,1)/r! |
Ω |
3.5141673366608 |
Real period |
R |
0.7233855239527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54910f1 |
Quadratic twists by: 17 |