Atkin-Lehner |
3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29325i |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
3739012443703125 = 37 · 56 · 17 · 235 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 2 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-42233,1596743] |
[a1,a2,a3,a4,a6] |
j |
533174986473472/239296796397 |
j-invariant |
L |
0.79455138400963 |
L(r)(E,1)/r! |
Ω |
0.39727569200462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87975q1 1173c1 |
Quadratic twists by: -3 5 |