Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766bn |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
17424 |
Modular degree for the optimal curve |
Δ |
-129660696 = -1 · 23 · 33 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11- 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,58,-516] |
[a1,a2,a3,a4,a6] |
j |
1472207/8856 |
j-invariant |
L |
2.7787680483042 |
L(r)(E,1)/r! |
Ω |
0.92625601610191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89298bg1 29766w1 |
Quadratic twists by: -3 -11 |