Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ce |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
610397061120000 = 226 · 33 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-334827,-74563046] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:30:1] |
Generators of the group modulo torsion |
j |
37537160298467283/5519360000 |
j-invariant |
L |
6.0814141722203 |
L(r)(E,1)/r! |
Ω |
0.19847155327168 |
Real period |
R |
1.9150773977178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930v1 55440bz1 |
Quadratic twists by: -4 -3 |