Atkin-Lehner |
2+ 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
54168b |
Isogeny class |
Conductor |
54168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
46801152 = 28 · 34 · 37 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-764,7872] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:24:1] [7:54:1] |
Generators of the group modulo torsion |
j |
192899964112/182817 |
j-invariant |
L |
9.959675196011 |
L(r)(E,1)/r! |
Ω |
2.0042546921838 |
Real period |
R |
2.4846331244348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108336b1 |
Quadratic twists by: -4 |