Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720be |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
3.7928232305036E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1781816,866782320] |
[a1,a2,a3,a4,a6] |
Generators |
[604:3248:1] |
Generators of the group modulo torsion |
j |
152739924334437553849/9259822340096580 |
j-invariant |
L |
4.2269796120823 |
L(r)(E,1)/r! |
Ω |
0.20174296479443 |
Real period |
R |
1.7460252027404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090j1 |
Quadratic twists by: -4 |