Atkin-Lehner |
2+ 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766b |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
325248 |
Modular degree for the optimal curve |
Δ |
-14255434923687936 = -1 · 214 · 32 · 119 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 11+ 2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72844,-9531056] |
[a1,a2,a3,a4,a6] |
j |
-18129265883/6045696 |
j-invariant |
L |
1.1430857000288 |
L(r)(E,1)/r! |
Ω |
0.14288571250374 |
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 |
89298bu1 29766y1 |
Quadratic twists by: -3 -11 |