Atkin-Lehner |
2- 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24528n |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
10680864768 = 212 · 36 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1048,11732] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-168:1] |
Generators of the group modulo torsion |
j |
31107273625/2607633 |
j-invariant |
L |
6.2977286692751 |
L(r)(E,1)/r! |
Ω |
1.2512866769471 |
Real period |
R |
0.41941685475307 |
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 |
1533a1 98112bd1 73584t1 |
Quadratic twists by: -4 8 -3 |