Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24080r |
Isogeny class |
Conductor |
24080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-12082380800 = -1 · 215 · 52 · 73 · 43 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 5 -2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,560,-1600] |
[a1,a2,a3,a4,a6] |
Generators |
[10:70:1] |
Generators of the group modulo torsion |
j |
4733169839/2949800 |
j-invariant |
L |
4.8707750741309 |
L(r)(E,1)/r! |
Ω |
0.73130511629446 |
Real period |
R |
0.55503224823715 |
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 |
3010g1 96320bl1 120400x1 |
Quadratic twists by: -4 8 5 |