Atkin-Lehner |
2+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450f |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-74175156250 = -1 · 2 · 57 · 132 · 532 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,974,-5802] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-174:1] [246:1723:8] |
Generators of the group modulo torsion |
j |
6549699311/4747210 |
j-invariant |
L |
4.5564875067729 |
L(r)(E,1)/r! |
Ω |
0.6127977944591 |
Real period |
R |
1.8588870374423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890n2 |
Quadratic twists by: 5 |