Atkin-Lehner |
2- 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480q |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-544083750000 = -1 · 24 · 33 · 57 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2336,-55335] |
[a1,a2,a3,a4,a6] |
j |
-88147123642624/34005234375 |
j-invariant |
L |
2.0214152687667 |
L(r)(E,1)/r! |
Ω |
0.33690254478744 |
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 |
78960n1 118440bj1 |
Quadratic twists by: -4 -3 |