Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096bh |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-865536 = -1 · 28 · 3 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 4 1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100,-356] |
[a1,a2,a3,a4,a6] |
Generators |
[44577:163766:2197] |
Generators of the group modulo torsion |
j |
-8904784/69 |
j-invariant |
L |
6.3162615996441 |
L(r)(E,1)/r! |
Ω |
0.75388885027983 |
Real period |
R |
8.3782398390967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524i1 54096cf1 |
Quadratic twists by: -4 -7 |