Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096bi |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-44906785185024 = -1 · 28 · 33 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8804,-56468] |
[a1,a2,a3,a4,a6] |
Generators |
[2686215:36810782:42875] |
Generators of the group modulo torsion |
j |
1043504/621 |
j-invariant |
L |
4.4792015500908 |
L(r)(E,1)/r! |
Ω |
0.37365609598366 |
Real period |
R |
11.987497590143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524j1 54096cd1 |
Quadratic twists by: -4 -7 |