Atkin-Lehner |
3- 5- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945q |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
135894447617394375 = 37 · 54 · 72 · 133 · 314 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15506537,23506709186] |
[a1,a2,a3,a4,a6] |
Generators |
[2256:334:1] |
Generators of the group modulo torsion |
j |
565640655403251926658889/186412136649375 |
j-invariant |
L |
4.1161444587224 |
L(r)(E,1)/r! |
Ω |
0.26436847735063 |
Real period |
R |
0.64873853986633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999492905 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42315e4 |
Quadratic twists by: -3 |