Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744c |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-1413598590976 = -1 · 211 · 11 · 137 |
Discriminant |
Eigenvalues |
2+ -2 -3 1 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24392,-1475564] |
[a1,a2,a3,a4,a6] |
Generators |
[186:676:1] |
Generators of the group modulo torsion |
j |
-162365474/143 |
j-invariant |
L |
2.8181261682116 |
L(r)(E,1)/r! |
Ω |
0.19099996404282 |
Real period |
R |
1.8443237557231 |
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 |
14872d1 118976de1 2288d1 |
Quadratic twists by: -4 8 13 |