Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300t |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
5832000 |
Modular degree for the optimal curve |
Δ |
-1.490174313075E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-309683333,2097507425463] |
[a1,a2,a3,a4,a6] |
Generators |
[10162:483:1] |
Generators of the group modulo torsion |
j |
-1313824034189516800000/59606972523 |
j-invariant |
L |
7.8018760993991 |
L(r)(E,1)/r! |
Ω |
0.13641512458715 |
Real period |
R |
1.270936965062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300i1 |
Quadratic twists by: 5 |