Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744d |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-13592294144 = -1 · 28 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3 3 -2 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-676,-8788] |
[a1,a2,a3,a4,a6] |
Generators |
[212238741:3429959273:804357] |
Generators of the group modulo torsion |
j |
-27648/11 |
j-invariant |
L |
11.141933596826 |
L(r)(E,1)/r! |
Ω |
0.45913191262242 |
Real period |
R |
12.133695448424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14872j1 118976do1 176a1 |
Quadratic twists by: -4 8 13 |