Atkin-Lehner |
2- 3+ 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560bu |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-6483456000 = -1 · 212 · 33 · 53 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-565,-6275] |
[a1,a2,a3,a4,a6] |
Generators |
[60:415:1] |
Generators of the group modulo torsion |
j |
-4878401536/1582875 |
j-invariant |
L |
4.6691116619322 |
L(r)(E,1)/r! |
Ω |
0.48159251130439 |
Real period |
R |
3.2317166299937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000169077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7035l1 |
Quadratic twists by: -4 |