Atkin-Lehner |
2- 7+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29036a |
Isogeny class |
Conductor |
29036 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-193499096682416 = -1 · 24 · 79 · 173 · 61 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 3 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38645,-3012604] |
[a1,a2,a3,a4,a6] |
Generators |
[569:12631:1] |
Generators of the group modulo torsion |
j |
-398928351525339136/12093693542651 |
j-invariant |
L |
6.3876482939499 |
L(r)(E,1)/r! |
Ω |
0.16994957412024 |
Real period |
R |
4.1761722734627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116144t1 |
Quadratic twists by: -4 |