Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150bt |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
9.5019091591496E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85228938,-264087492969] |
[a1,a2,a3,a4,a6] |
Generators |
[-3831:80763:1] |
Generators of the group modulo torsion |
j |
4381924769947287308715481/608122186185572352000 |
j-invariant |
L |
7.1670314551822 |
L(r)(E,1)/r! |
Ω |
0.050146041018189 |
Real period |
R |
2.9775661704209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72450bv1 4830n1 |
Quadratic twists by: -3 5 |