Atkin-Lehner |
3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285bb |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-11664635567715 = -1 · 37 · 5 · 137 · 17 |
Discriminant |
Eigenvalues |
0 3- 5- -2 2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8112,325705] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:760:1] |
Generators of the group modulo torsion |
j |
-16777216/3315 |
j-invariant |
L |
5.3959025048873 |
L(r)(E,1)/r! |
Ω |
0.68609810797326 |
Real period |
R |
0.98307777590613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000164142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43095b1 9945f1 |
Quadratic twists by: -3 13 |