Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gh |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-152092588032000 = -1 · 214 · 39 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8981,-680781] |
[a1,a2,a3,a4,a6] |
Generators |
[142:963:1] |
Generators of the group modulo torsion |
j |
-4890195460096/9282994875 |
j-invariant |
L |
7.5369128366169 |
L(r)(E,1)/r! |
Ω |
0.23085152198067 |
Real period |
R |
3.6275903764605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73920s1 18480ce1 |
Quadratic twists by: -4 8 |