Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990bl |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-2049960937500 = -1 · 22 · 32 · 510 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14561,-685861] |
[a1,a2,a3,a4,a6] |
Generators |
[3027:164926:1] |
Generators of the group modulo torsion |
j |
-995417019118423/5976562500 |
j-invariant |
L |
6.2060785658447 |
L(r)(E,1)/r! |
Ω |
0.21722796920293 |
Real period |
R |
7.1423567009079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970bv1 124950cx1 24990ce1 |
Quadratic twists by: -3 5 -7 |