Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576cg |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
10483200 |
Modular degree for the optimal curve |
Δ |
-2.3648796642865E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 11+ -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-203808129,-1122276376287] |
[a1,a2,a3,a4,a6] |
Generators |
[627159:69761024:27] |
Generators of the group modulo torsion |
j |
-3571480626044740843224673/9021299988885921792 |
j-invariant |
L |
3.0954741538796 |
L(r)(E,1)/r! |
Ω |
0.019975537243646 |
Real period |
R |
5.5344017537394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576bm1 12144bo1 |
Quadratic twists by: -4 8 |