Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54910r |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
948046470099200 = 28 · 52 · 177 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-925288,342809131] |
[a1,a2,a3,a4,a6] |
Generators |
[-1109:2577:1] [-119:21301:1] |
Generators of the group modulo torsion |
j |
3629614769120241/39276800 |
j-invariant |
L |
11.905223166776 |
L(r)(E,1)/r! |
Ω |
0.44935703891617 |
Real period |
R |
3.3117382548115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3230g1 |
Quadratic twists by: 17 |