Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bi |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
12126827520 = 210 · 38 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,6248] |
[a1,a2,a3,a4,a6] |
Generators |
[41:209:1] |
Generators of the group modulo torsion |
j |
67108864/16245 |
j-invariant |
L |
5.6408393738172 |
L(r)(E,1)/r! |
Ω |
1.1911261852885 |
Real period |
R |
2.3678596959151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720dl1 3420b1 18240w1 |
Quadratic twists by: -4 8 -3 |