Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bz |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1795089600 = 26 · 310 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5727,166804] |
[a1,a2,a3,a4,a6] |
Generators |
[48:50:1] |
Generators of the group modulo torsion |
j |
445243675456/38475 |
j-invariant |
L |
5.9165799339491 |
L(r)(E,1)/r! |
Ω |
1.4205911066362 |
Real period |
R |
2.0824359333152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ck1 27360ba4 18240be1 |
Quadratic twists by: -4 8 -3 |