Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24080q |
Isogeny class |
Conductor |
24080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-16159814451200 = -1 · 231 · 52 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400,193300] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:70:1] |
Generators of the group modulo torsion |
j |
-1732323601/3945267200 |
j-invariant |
L |
7.0063623394495 |
L(r)(E,1)/r! |
Ω |
0.55993977250319 |
Real period |
R |
3.1281767627113 |
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 |
3010h1 96320bm1 120400y1 |
Quadratic twists by: -4 8 5 |