Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720fb |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-11346739200 = -1 · 215 · 36 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 0 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,21904] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-40:1] |
Generators of the group modulo torsion |
j |
-14172488/475 |
j-invariant |
L |
7.3933974701038 |
L(r)(E,1)/r! |
Ω |
1.2687774382562 |
Real period |
R |
0.72839779136423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54720em1 27360w1 6080q1 |
Quadratic twists by: -4 8 -3 |