Atkin-Lehner |
2+ 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
54168b |
Isogeny class |
Conductor |
54168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
46946755584 = 210 · 32 · 372 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-944,3696] |
[a1,a2,a3,a4,a6] |
Generators |
[3:30:1] [31:72:1] |
Generators of the group modulo torsion |
j |
90949374148/45846441 |
j-invariant |
L |
9.959675196011 |
L(r)(E,1)/r! |
Ω |
1.0021273460919 |
Real period |
R |
9.9385324977394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108336b2 |
Quadratic twists by: -4 |