Atkin-Lehner |
2- 3- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
54612b |
Isogeny class |
Conductor |
54612 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-848476498176 = -1 · 28 · 310 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,969,-42770] |
[a1,a2,a3,a4,a6] |
Generators |
[63:518:1] |
Generators of the group modulo torsion |
j |
539172272/4546449 |
j-invariant |
L |
4.6384853456514 |
L(r)(E,1)/r! |
Ω |
0.4412361845104 |
Real period |
R |
1.7520795394286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18204a2 |
Quadratic twists by: -3 |