Atkin-Lehner |
2+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26680a |
Isogeny class |
Conductor |
26680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
3246155600 = 24 · 52 · 234 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -4 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-891,-10166] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:7:1] |
Generators of the group modulo torsion |
j |
4894678534144/202884725 |
j-invariant |
L |
4.2768207123729 |
L(r)(E,1)/r! |
Ω |
0.87598994627854 |
Real period |
R |
2.4411357290926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53360d1 |
Quadratic twists by: -4 |