Atkin-Lehner |
3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
29547w |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-3815704396161 = -1 · 319 · 72 · 67 |
Discriminant |
Eigenvalues |
1 3- 1 7- 4 -4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2196,-85779] |
[a1,a2,a3,a4,a6] |
j |
32778257519/106819641 |
j-invariant |
L |
3.2087936988374 |
L(r)(E,1)/r! |
Ω |
0.40109921235487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9849p1 29547i1 |
Quadratic twists by: -3 -7 |