Atkin-Lehner |
3- 13+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51129d |
Isogeny class |
Conductor |
51129 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17640249387111 = 39 · 13 · 194 · 232 |
Discriminant |
Eigenvalues |
1 3- 2 0 -6 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15291,-695358] |
[a1,a2,a3,a4,a6] |
Generators |
[-658:559:8] [-78:174:1] |
Generators of the group modulo torsion |
j |
542400179699377/24197872959 |
j-invariant |
L |
12.198492713912 |
L(r)(E,1)/r! |
Ω |
0.43051277955998 |
Real period |
R |
7.0836995398714 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17043d2 |
Quadratic twists by: -3 |