Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15792bc |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-782418051072 = -1 · 222 · 34 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-768,-43596] |
[a1,a2,a3,a4,a6] |
j |
-12246522625/191020032 |
j-invariant |
L |
3.0755077090512 |
L(r)(E,1)/r! |
Ω |
0.3844384636314 |
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 |
1974f1 63168ce1 47376bd1 110544bz1 |
Quadratic twists by: -4 8 -3 -7 |