Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
55224b |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-1251154944 = -1 · 210 · 33 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,4150] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:60:1] |
Generators of the group modulo torsion |
j |
-386810316/45253 |
j-invariant |
L |
9.0350602065848 |
L(r)(E,1)/r! |
Ω |
1.4897450797513 |
Real period |
R |
3.0324182067419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448d1 55224l1 |
Quadratic twists by: -4 -3 |