Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570cq |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
517440 |
Modular degree for the optimal curve |
Δ |
-52356102832031250 = -1 · 2 · 3 · 511 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,50714,10097366] |
[a1,a2,a3,a4,a6] |
Generators |
[-23393835291091975253066:-237365542923630392799425:186702213008952130888] |
Generators of the group modulo torsion |
j |
2502202511711/9082031250 |
j-invariant |
L |
9.3151052554288 |
L(r)(E,1)/r! |
Ω |
0.25224399080305 |
Real period |
R |
36.92894814173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570cm1 |
Quadratic twists by: -7 |