Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576ce |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2311204110336 = 223 · 32 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 11+ 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29921,2000769] |
[a1,a2,a3,a4,a6] |
Generators |
[77:384:1] |
Generators of the group modulo torsion |
j |
11301253512121/8816544 |
j-invariant |
L |
4.7579812125122 |
L(r)(E,1)/r! |
Ω |
0.81251120830711 |
Real period |
R |
0.73198701197526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576bk1 12144bm1 |
Quadratic twists by: -4 8 |