Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450ci |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32659200 |
Modular degree for the optimal curve |
Δ |
-1.2583371835578E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,206175258,1270548884916] |
[a1,a2,a3,a4,a6] |
Generators |
[-1637:964484:1] |
Generators of the group modulo torsion |
j |
3403656999841015798655/4418852112356605952 |
j-invariant |
L |
4.5499573625033 |
L(r)(E,1)/r! |
Ω |
0.03258418397829 |
Real period |
R |
5.8182079042837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8050t1 72450dl1 |
Quadratic twists by: -3 5 |