Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766c |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
254592 |
Modular degree for the optimal curve |
Δ |
3920043232309248 = 212 · 313 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 11- 6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122575,-16291931] |
[a1,a2,a3,a4,a6] |
j |
13911187791015625/267744227328 |
j-invariant |
L |
1.5327016201544 |
L(r)(E,1)/r! |
Ω |
0.25545027002586 |
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 |
89298cm1 29766bh1 |
Quadratic twists by: -3 -11 |