Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420br |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
411137371890000 = 24 · 33 · 54 · 77 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20645,-600132] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:735:1] |
Generators of the group modulo torsion |
j |
516988862464/218413125 |
j-invariant |
L |
10.186369639221 |
L(r)(E,1)/r! |
Ω |
0.41362243736984 |
Real period |
R |
0.68408936466753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060b1 |
Quadratic twists by: -7 |