Atkin-Lehner |
2- 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97704j |
Isogeny class |
Conductor |
97704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-4841103449088 = -1 · 210 · 310 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 6 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4173,20990] |
[a1,a2,a3,a4,a6] |
Generators |
[70:810:1] |
Generators of the group modulo torsion |
j |
10765677884/6485103 |
j-invariant |
L |
4.8038052536237 |
L(r)(E,1)/r! |
Ω |
0.4722172782044 |
Real period |
R |
2.5432176605918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999932053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32568d1 |
Quadratic twists by: -3 |