Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680bv |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1311744 |
Modular degree for the optimal curve |
Δ |
-550174556695108800 = -1 · 26 · 3 · 52 · 714 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3568586,-2596166436] |
[a1,a2,a3,a4,a6] |
Generators |
[14347305473315200746756:2992595709420998511007170:329150724104588849] |
Generators of the group modulo torsion |
j |
-78529414947341027870656/8596477448361075 |
j-invariant |
L |
6.510507325194 |
L(r)(E,1)/r! |
Ω |
0.054921533473312 |
Real period |
R |
29.635495012021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bg1 87360fh2 |
Quadratic twists by: -4 8 |