Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hp |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
1.2834121585824E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1263008,-37752012] |
[a1,a2,a3,a4,a6] |
Generators |
[-806:21384:1] |
Generators of the group modulo torsion |
j |
3481467828171481/2005331497785 |
j-invariant |
L |
7.6258977829798 |
L(r)(E,1)/r! |
Ω |
0.15506874743807 |
Real period |
R |
0.51226592349765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775d1 18480cf1 |
Quadratic twists by: -4 5 |