Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bt |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
4 |
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 |
[4620:21952:27] |
Generators of the group modulo torsion |
j |
7177888089/2296 |
j-invariant |
L |
10.352842047938 |
L(r)(E,1)/r! |
Ω |
0.60311600278527 |
Real period |
R |
4.2913975214417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999709839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576df1 4018k1 18368k1 |
Quadratic twists by: -4 8 -7 |