Atkin-Lehner |
2+ 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440q |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2031616 |
Modular degree for the optimal curve |
Δ |
56813536080 = 24 · 38 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14612538,-21499907623] |
[a1,a2,a3,a4,a6] |
j |
29583745779050561468416/4870845 |
j-invariant |
L |
2.7798457197918 |
L(r)(E,1)/r! |
Ω |
0.077217927525659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480t1 |
Quadratic twists by: -3 |