Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450dm |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-964675380093750000 = -1 · 24 · 37 · 59 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,210370,-29272003] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1555:1] |
Generators of the group modulo torsion |
j |
90391899763439/84690294000 |
j-invariant |
L |
7.9402392905804 |
L(r)(E,1)/r! |
Ω |
0.15234154885249 |
Real period |
R |
1.6287905662364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008619 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33150u1 19890b1 |
Quadratic twists by: -3 5 |