Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450bt |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
764545981680000 = 27 · 39 · 54 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 13- 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23967,-513459] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:933:1] |
Generators of the group modulo torsion |
j |
3341699447425/1678015872 |
j-invariant |
L |
5.5082006749046 |
L(r)(E,1)/r! |
Ω |
0.40437142411124 |
Real period |
R |
0.28378409948529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150cj1 99450cj1 |
Quadratic twists by: -3 5 |