Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3042d |
Isogeny class |
Conductor |
3042 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-728479271550910464 = -1 · 216 · 311 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29691,-41104283] |
[a1,a2,a3,a4,a6] |
j |
-822656953/207028224 |
j-invariant |
L |
1.0192660461285 |
L(r)(E,1)/r! |
Ω |
0.12740825576606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24336bs1 97344ci1 1014e1 76050ey1 |
Quadratic twists by: -4 8 -3 5 |