Atkin-Lehner |
3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129285z |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
650496 |
Modular degree for the optimal curve |
Δ |
-3988391748046875 = -1 · 37 · 511 · 133 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-114348,-15190016] |
[a1,a2,a3,a4,a6] |
j |
-103240915222528/2490234375 |
j-invariant |
L |
1.0370121078871 |
L(r)(E,1)/r! |
Ω |
0.12962634358236 |
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 |
43095i1 129285bh1 |
Quadratic twists by: -3 13 |