Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240ck |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4529857167360 = -1 · 216 · 38 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1784,98804] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-378:1] |
Generators of the group modulo torsion |
j |
153216258551/1105922160 |
j-invariant |
L |
5.9195414715082 |
L(r)(E,1)/r! |
Ω |
0.56360172863821 |
Real period |
R |
0.65644110563095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030d1 |
Quadratic twists by: -4 |