Atkin-Lehner |
3- 13+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51129g |
Isogeny class |
Conductor |
51129 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1022937903 = 36 · 132 · 192 · 23 |
Discriminant |
Eigenvalues |
-1 3- 4 0 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1058,-12886] |
[a1,a2,a3,a4,a6] |
Generators |
[64:390:1] |
Generators of the group modulo torsion |
j |
179501589721/1403207 |
j-invariant |
L |
5.2436674715739 |
L(r)(E,1)/r! |
Ω |
0.83755806775343 |
Real period |
R |
3.1303307038683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5681a2 |
Quadratic twists by: -3 |