Atkin-Lehner |
2- 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720cp |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-234776956108800 = -1 · 217 · 3 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10360,838100] |
[a1,a2,a3,a4,a6] |
j |
-30025133704441/57318592800 |
j-invariant |
L |
3.9751042885773 |
L(r)(E,1)/r! |
Ω |
0.49688803610787 |
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 |
6090f1 |
Quadratic twists by: -4 |