Atkin-Lehner |
2+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450b |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
296700625000 = 23 · 57 · 132 · 532 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5692,-161784] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:58:1] [99:438:1] |
Generators of the group modulo torsion |
j |
1305392995089/18988840 |
j-invariant |
L |
6.6202451757242 |
L(r)(E,1)/r! |
Ω |
0.5501262158343 |
Real period |
R |
3.0085119492465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890k2 |
Quadratic twists by: 5 |