Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120bm |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
96 |
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] |
j |
7056785934088129/745537500000 |
j-invariant |
L |
5.1299953470114 |
L(r)(E,1)/r! |
Ω |
0.21374980612383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120ca2 1410j2 |
Quadratic twists by: -4 8 |