Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880y |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
424686366228480 = 238 · 3 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23905,1012223] |
[a1,a2,a3,a4,a6] |
Generators |
[255380672007873:4934051851010048:603565357851] |
Generators of the group modulo torsion |
j |
5763259856089/1620049920 |
j-invariant |
L |
9.2249823643858 |
L(r)(E,1)/r! |
Ω |
0.49397920562327 |
Real period |
R |
18.674839448358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98880bm1 3090a1 |
Quadratic twists by: -4 8 |