Atkin-Lehner |
3- 5- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945q |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1142784 |
Modular degree for the optimal curve |
Δ |
-115920066712483215 = -1 · 310 · 5 · 78 · 133 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-977,16381136] |
[a1,a2,a3,a4,a6] |
Generators |
[474:10819:1] |
Generators of the group modulo torsion |
j |
-141339344329/159012437191335 |
j-invariant |
L |
4.1161444587224 |
L(r)(E,1)/r! |
Ω |
0.26436847735063 |
Real period |
R |
2.5949541594653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999492905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42315e1 |
Quadratic twists by: -3 |