Atkin-Lehner |
2+ 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144a |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-5344823902021632 = -1 · 211 · 39 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -3 2 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9261,-3500658] |
[a1,a2,a3,a4,a6] |
Generators |
[181882754586:1367744265243:1211355496] |
Generators of the group modulo torsion |
j |
378/23 |
j-invariant |
L |
7.3293819756208 |
L(r)(E,1)/r! |
Ω |
0.20504976156326 |
Real period |
R |
17.87220311729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81144ba1 81144d1 |
Quadratic twists by: -3 -7 |