Atkin-Lehner |
2+ 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048h |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-2.8314078746484E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,715428,106028352] |
[a1,a2,a3,a4,a6] |
j |
158190697038714354992/110601870103451727 |
j-invariant |
L |
1.0639822883985 |
L(r)(E,1)/r! |
Ω |
0.13299778609339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024l1 |
Quadratic twists by: -4 |