Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bk |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
199454400 = 26 · 38 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,-668] |
[a1,a2,a3,a4,a6] |
Generators |
[32:162:1] |
Generators of the group modulo torsion |
j |
14526784/4275 |
j-invariant |
L |
5.3727450242297 |
L(r)(E,1)/r! |
Ω |
1.3273852397758 |
Real period |
R |
2.0238077324192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720r1 27360n2 18240br1 |
Quadratic twists by: -4 8 -3 |