Atkin-Lehner |
2- 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
24780k |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2655499140000000 = -1 · 28 · 38 · 57 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 6 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-245036,-46834236] |
[a1,a2,a3,a4,a6] |
j |
-6355872876382400464/10373043515625 |
j-invariant |
L |
2.574724088114 |
L(r)(E,1)/r! |
Ω |
0.10728017033809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99120bq1 74340t1 123900m1 |
Quadratic twists by: -4 -3 5 |