Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bu |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-653572177920 = -1 · 220 · 38 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,38896] |
[a1,a2,a3,a4,a6] |
Generators |
[20:216:1] |
Generators of the group modulo torsion |
j |
-1/3420 |
j-invariant |
L |
4.9488024280512 |
L(r)(E,1)/r! |
Ω |
0.7234468176564 |
Real period |
R |
1.7101472794279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ew1 1710f1 18240bb1 |
Quadratic twists by: -4 8 -3 |