Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
80920g |
Isogeny class |
Conductor |
80920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2967552 |
Modular degree for the optimal curve |
Δ |
-4.9697210737909E+21 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -2 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1889000,-3536529232] |
[a1,a2,a3,a4,a6] |
Generators |
[4670730857411551:105023719323153344:2173257047177] |
Generators of the group modulo torsion |
j |
-15079826167058/100532974885 |
j-invariant |
L |
8.369876689025 |
L(r)(E,1)/r! |
Ω |
0.057285134530123 |
Real period |
R |
18.263631476295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4760a1 |
Quadratic twists by: 17 |