Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766m |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
8105936652 = 22 · 35 · 112 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -4 1 11- -6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-607,-4055] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-35:1] |
Generators of the group modulo torsion |
j |
204937704961/66991212 |
j-invariant |
L |
1.8856169282889 |
L(r)(E,1)/r! |
Ω |
0.98670541322754 |
Real period |
R |
0.31850386532306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298ch1 29766bf1 |
Quadratic twists by: -3 -11 |