Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576cc |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
12289728 = 26 · 3 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,-242] |
[a1,a2,a3,a4,a6] |
Generators |
[-605:858:125] |
Generators of the group modulo torsion |
j |
1191016000/192027 |
j-invariant |
L |
6.3312219835339 |
L(r)(E,1)/r! |
Ω |
1.5742700827024 |
Real period |
R |
4.0216872905917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576dj1 24288k2 |
Quadratic twists by: -4 8 |