Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766w |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
191664 |
Modular degree for the optimal curve |
Δ |
-229701832266456 = -1 · 23 · 33 · 1110 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 11- -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7015,693812] |
[a1,a2,a3,a4,a6] |
j |
1472207/8856 |
j-invariant |
L |
1.2119352955805 |
L(r)(E,1)/r! |
Ω |
0.40397843186053 |
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 |
89298cf1 29766bn1 |
Quadratic twists by: -3 -11 |