Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93100m |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-118919609200 = -1 · 24 · 52 · 77 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257658,-50426027] |
[a1,a2,a3,a4,a6] |
Generators |
[1277:41287:1] |
Generators of the group modulo torsion |
j |
-40198334560000/2527 |
j-invariant |
L |
4.9897926596841 |
L(r)(E,1)/r! |
Ω |
0.10595184142334 |
Real period |
R |
5.8868640260079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93100bo1 13300h1 |
Quadratic twists by: 5 -7 |