Atkin-Lehner |
2+ 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15834g |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1289636694126144 = 26 · 310 · 74 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50492,-4014790] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:655:1] |
Generators of the group modulo torsion |
j |
14235707906036108857/1289636694126144 |
j-invariant |
L |
3.4092159989576 |
L(r)(E,1)/r! |
Ω |
0.32033466036325 |
Real period |
R |
1.0642669747606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126672bm2 47502bi2 110838e2 |
Quadratic twists by: -4 -3 -7 |