Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760r |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
376142130000 = 24 · 310 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1194402,-502428071] |
[a1,a2,a3,a4,a6] |
j |
16155773913566746624/32248125 |
j-invariant |
L |
2.3106379764342 |
L(r)(E,1)/r! |
Ω |
0.14441487352753 |
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 |
65520bp1 10920p1 |
Quadratic twists by: -4 -3 |