Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744p |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-19930646315008 = -1 · 219 · 113 · 134 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11+ 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5352,151280] |
[a1,a2,a3,a4,a6] |
j |
144896375/170368 |
j-invariant |
L |
2.7416658627563 |
L(r)(E,1)/r! |
Ω |
0.45694431045948 |
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 |
3718j1 118976di1 29744bc1 |
Quadratic twists by: -4 8 13 |