Atkin-Lehner |
2+ 3- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610g |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-261297869321250 = -1 · 2 · 38 · 54 · 17 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8271,-723897] |
[a1,a2,a3,a4,a6] |
Generators |
[686:5907:8] |
Generators of the group modulo torsion |
j |
85830315739631/358433291250 |
j-invariant |
L |
5.4242842644565 |
L(r)(E,1)/r! |
Ω |
0.27951733763174 |
Real period |
R |
4.8514738928543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870u4 |
Quadratic twists by: -3 |