Atkin-Lehner |
2- 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480u |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-4264641601920000 = -1 · 210 · 310 · 54 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21960,-3375108] |
[a1,a2,a3,a4,a6] |
j |
-1143774840771364/4164689064375 |
j-invariant |
L |
1.4377055376821 |
L(r)(E,1)/r! |
Ω |
0.1797131922068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960bb1 118440r1 |
Quadratic twists by: -4 -3 |