Atkin-Lehner |
2+ 3- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350bl |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43648 |
Modular degree for the optimal curve |
Δ |
452352000 = 211 · 3 · 53 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 5 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-496,-4162] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:113:8] |
Generators of the group modulo torsion |
j |
107646386093/3618816 |
j-invariant |
L |
6.2155132772887 |
L(r)(E,1)/r! |
Ω |
1.0139798697413 |
Real period |
R |
3.0649096022778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350cf1 |
Quadratic twists by: 5 |