Atkin-Lehner |
2- 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240de |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2485518336000 = -1 · 220 · 32 · 53 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-75852] |
[a1,a2,a3,a4,a6] |
j |
-1/606816000 |
j-invariant |
L |
4.479300960475 |
L(r)(E,1)/r! |
Ω |
0.37327508048055 |
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 |
9030p1 |
Quadratic twists by: -4 |