Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502ch |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
16220160 |
Modular degree for the optimal curve |
Δ |
6.2905243527893E+21 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25603502,-49712530755] |
[a1,a2,a3,a4,a6] |
Generators |
[-2887:13107:1] |
Generators of the group modulo torsion |
j |
1437269372537979889/4870832652288 |
j-invariant |
L |
6.2959558387811 |
L(r)(E,1)/r! |
Ω |
0.067129468912259 |
Real period |
R |
1.0657756577878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998359788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834f1 1062f1 |
Quadratic twists by: -3 -11 |