Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130cf |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
9.0637590125811E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12206881,16346423519] |
[a1,a2,a3,a4,a6] |
Generators |
[1799:13680:1] |
Generators of the group modulo torsion |
j |
1709816905432357102081/7704068043571200 |
j-invariant |
L |
8.1567251973898 |
L(r)(E,1)/r! |
Ω |
0.15824533543567 |
Real period |
R |
1.2886201695426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999488185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590y1 |
Quadratic twists by: -7 |