Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880bm |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-9307872000 = -1 · 28 · 37 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,21796] |
[a1,a2,a3,a4,a6] |
Generators |
[32:90:1] |
Generators of the group modulo torsion |
j |
-1814078464/49875 |
j-invariant |
L |
7.1969448676207 |
L(r)(E,1)/r! |
Ω |
1.293030085506 |
Real period |
R |
0.23191471426543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760bi1 15960e1 |
Quadratic twists by: -4 -3 |