Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
48480j |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
909000000 = 26 · 32 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1170,15732] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:150:1] |
Generators of the group modulo torsion |
j |
2769953397184/14203125 |
j-invariant |
L |
5.0035725408254 |
L(r)(E,1)/r! |
Ω |
1.5824080656892 |
Real period |
R |
0.52699981432264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48480u1 96960dg2 |
Quadratic twists by: -4 8 |