Atkin-Lehner |
3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285b |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-1413731475 = -1 · 39 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 -5 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2808,-57301] |
[a1,a2,a3,a4,a6] |
Generators |
[79:462:1] |
Generators of the group modulo torsion |
j |
-736100352/425 |
j-invariant |
L |
5.1050335558138 |
L(r)(E,1)/r! |
Ω |
0.32791043990066 |
Real period |
R |
3.8920944188872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999680414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129285k1 129285i1 |
Quadratic twists by: -3 13 |