Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240db |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
700 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
-220293140659200000 = -1 · 213 · 35 · 55 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17760,-22606092] |
[a1,a2,a3,a4,a6] |
Generators |
[1986:88200:1] |
Generators of the group modulo torsion |
j |
-151257563987041/53782505043750 |
j-invariant |
L |
9.2557733126298 |
L(r)(E,1)/r! |
Ω |
0.14116354393367 |
Real period |
R |
0.093668187512561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030q1 |
Quadratic twists by: -4 |