Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10836i |
Isogeny class |
Conductor |
10836 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-474814187145648 = -1 · 24 · 311 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38100,-3048383] |
[a1,a2,a3,a4,a6] |
Generators |
[528:11137:1] |
Generators of the group modulo torsion |
j |
-524386048000000/40707663507 |
j-invariant |
L |
4.5086675937785 |
L(r)(E,1)/r! |
Ω |
0.17010149274182 |
Real period |
R |
2.2088124767478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43344w1 3612h1 75852j1 |
Quadratic twists by: -4 -3 -7 |