Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096bq |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-5839307686281216 = -1 · 221 · 3 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 7 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63912,-7203216] |
[a1,a2,a3,a4,a6] |
Generators |
[25734:762146:27] |
Generators of the group modulo torsion |
j |
-174676879/35328 |
j-invariant |
L |
3.3214443064914 |
L(r)(E,1)/r! |
Ω |
0.14851553905283 |
Real period |
R |
5.5910720315955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762u1 54096cx1 |
Quadratic twists by: -4 -7 |