Atkin-Lehner |
2+ 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530z |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-77755023360 = -1 · 215 · 37 · 5 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -3 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1449,-24755] |
[a1,a2,a3,a4,a6] |
j |
-461710681489/106659840 |
j-invariant |
L |
1.528814919852 |
L(r)(E,1)/r! |
Ω |
0.382203729963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510n1 97650eh1 |
Quadratic twists by: -3 5 |