Atkin-Lehner |
2- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120bh |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
819200 |
Modular degree for the optimal curve |
Δ |
-9602560000000000 = -1 · 218 · 510 · 112 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11+ 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61665,-7568225] |
[a1,a2,a3,a4,a6] |
Generators |
[545:11000:1] |
Generators of the group modulo torsion |
j |
-98925223576249/36630859375 |
j-invariant |
L |
3.7899677619844 |
L(r)(E,1)/r! |
Ω |
0.14873217029155 |
Real period |
R |
1.2740914687607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999367008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120r1 27280n1 |
Quadratic twists by: -4 8 |