Atkin-Lehner |
3+ 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675a |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
419040 |
Modular degree for the optimal curve |
Δ |
-18286201171875 = -1 · 3 · 510 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ -3 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8958,-382807] |
[a1,a2,a3,a4,a6] |
Generators |
[84172143815811097422638:1188452036932127435767197:345490598058206862808] |
Generators of the group modulo torsion |
j |
-8141516800/1872507 |
j-invariant |
L |
9.0249325370227 |
L(r)(E,1)/r! |
Ω |
0.2424040583022 |
Real period |
R |
37.230946545339 |
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 |
129675bm1 |
Quadratic twists by: 5 |