Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576df |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
70810888830976 = 221 · 77 · 41 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 4 -6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126028,-17215856] |
[a1,a2,a3,a4,a6] |
Generators |
[-206:64:1] [-203:49:1] |
Generators of the group modulo torsion |
j |
7177888089/2296 |
j-invariant |
L |
6.8955271712116 |
L(r)(E,1)/r! |
Ω |
0.2533909678782 |
Real period |
R |
1.7008121937249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576bt1 32144be1 18368t1 |
Quadratic twists by: -4 8 -7 |