Atkin-Lehner |
2- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
71540b |
Isogeny class |
Conductor |
71540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1915200 |
Modular degree for the optimal curve |
Δ |
-1.3096816649203E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 2 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,722244,-497586200] |
[a1,a2,a3,a4,a6] |
Generators |
[4149:271852:1] |
Generators of the group modulo torsion |
j |
28232585585456/88744503125 |
j-invariant |
L |
2.995337828122 |
L(r)(E,1)/r! |
Ω |
0.094598900253783 |
Real period |
R |
2.6386298886246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71540h1 |
Quadratic twists by: -7 |