Atkin-Lehner |
3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285ba |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-69048058970475 = -1 · 39 · 52 · 134 · 173 |
Discriminant |
Eigenvalues |
0 3- 5- 2 3 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8112,488790] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:877:1] |
Generators of the group modulo torsion |
j |
-2835349504/3316275 |
j-invariant |
L |
7.1745616561518 |
L(r)(E,1)/r! |
Ω |
0.55898605391794 |
Real period |
R |
0.5347898506343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43095m1 129285p1 |
Quadratic twists by: -3 13 |