Atkin-Lehner |
2+ 3- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610g |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
330149520 = 24 · 38 · 5 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5319,-147987] |
[a1,a2,a3,a4,a6] |
Generators |
[214:2805:1] |
Generators of the group modulo torsion |
j |
22831375767409/452880 |
j-invariant |
L |
5.4242842644565 |
L(r)(E,1)/r! |
Ω |
0.55903467526348 |
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 |
18870u1 |
Quadratic twists by: -3 |