Atkin-Lehner |
3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129285bf |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4472832 |
Modular degree for the optimal curve |
Δ |
-3203400542783731875 = -1 · 37 · 54 · 1310 · 17 |
Discriminant |
Eigenvalues |
2 3- 5- -4 -3 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1627977,-804127815] |
[a1,a2,a3,a4,a6] |
j |
-4747964416/31875 |
j-invariant |
L |
1.06881741627 |
L(r)(E,1)/r! |
Ω |
0.066801051066278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43095l1 129285x1 |
Quadratic twists by: -3 13 |