Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720p |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-13750732800 = -1 · 211 · 33 · 52 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,384,-4716] |
[a1,a2,a3,a4,a6] |
Generators |
[54:420:1] |
Generators of the group modulo torsion |
j |
3049691902/6714225 |
j-invariant |
L |
7.1494041917108 |
L(r)(E,1)/r! |
Ω |
0.65155846944367 |
Real period |
R |
0.15239964653512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24360p1 |
Quadratic twists by: -4 |