Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920dg |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
87308095193088000 = 238 · 3 · 53 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-445345,-113653057] |
[a1,a2,a3,a4,a6] |
j |
37262716093162729/333053952000 |
j-invariant |
L |
4.4378314316708 |
L(r)(E,1)/r! |
Ω |
0.1849096431873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920fq1 2310a1 |
Quadratic twists by: -4 8 |