Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766f |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21168 |
Modular degree for the optimal curve |
Δ |
-5555049984 = -1 · 29 · 37 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-189,3645] |
[a1,a2,a3,a4,a6] |
j |
-6221702113/45909504 |
j-invariant |
L |
1.1626268977912 |
L(r)(E,1)/r! |
Ω |
1.1626268977878 |
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 |
89298ct1 29766bj1 |
Quadratic twists by: -3 -11 |