Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096o |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-135449459712 = -1 · 210 · 36 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1272,-2556] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-252:1] |
Generators of the group modulo torsion |
j |
647514500/385641 |
j-invariant |
L |
7.7433686234688 |
L(r)(E,1)/r! |
Ω |
0.60588051368722 |
Real period |
R |
0.5325148309305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27048r1 54096c1 |
Quadratic twists by: -4 -7 |