Atkin-Lehner |
3+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
89889a |
Isogeny class |
Conductor |
89889 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70625280 |
Modular degree for the optimal curve |
Δ |
-6.2783960278569E+26 |
Discriminant |
Eigenvalues |
0 3+ -3 3 -1 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3722237547,-87415687951063] |
[a1,a2,a3,a4,a6] |
Generators |
[433972335457107150761858145073:147859106718932081964214621570066:2977703259245172704256947] |
Generators of the group modulo torsion |
j |
-17674761432385744371712/1945657076817609 |
j-invariant |
L |
3.6697217054312 |
L(r)(E,1)/r! |
Ω |
0.0096641946654578 |
Real period |
R |
47.465435978692 |
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 |
89889d1 |
Quadratic twists by: -19 |