Atkin-Lehner |
3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
24885j |
Isogeny class |
Conductor |
24885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-7165760175 = -1 · 38 · 52 · 7 · 792 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,58,-4084] |
[a1,a2,a3,a4,a6] |
Generators |
[16:19:1] [24:91:1] |
Generators of the group modulo torsion |
j |
30080231/9829575 |
j-invariant |
L |
5.3184977952354 |
L(r)(E,1)/r! |
Ω |
0.62199685219155 |
Real period |
R |
4.2753414076754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8295e1 124425q1 |
Quadratic twists by: -3 5 |