Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54910r |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9090876854685610000 = 24 · 54 · 178 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-948408,324794027] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:21753:1] [11361:2531:27] |
Generators of the group modulo torsion |
j |
3908547377131761/376627690000 |
j-invariant |
L |
11.905223166776 |
L(r)(E,1)/r! |
Ω |
0.22467851945809 |
Real period |
R |
13.246953019246 |
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 |
3230g2 |
Quadratic twists by: 17 |