Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120ca |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
195438182400000000 = 223 · 33 · 58 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-255745,45093025] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:9600:1] |
Generators of the group modulo torsion |
j |
7056785934088129/745537500000 |
j-invariant |
L |
5.6110966167664 |
L(r)(E,1)/r! |
Ω |
0.30858600803945 |
Real period |
R |
1.1364531424344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120bm2 11280r2 |
Quadratic twists by: -4 8 |