Atkin-Lehner |
2- 3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98022w |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-588132 = -1 · 22 · 32 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 5 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18372,-960012] |
[a1,a2,a3,a4,a6] |
Generators |
[72302256936:3015496169622:40353607] |
Generators of the group modulo torsion |
j |
-713626735389313/612 |
j-invariant |
L |
15.019554513268 |
L(r)(E,1)/r! |
Ω |
0.20503609724488 |
Real period |
R |
18.313305211972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98022o1 |
Quadratic twists by: -31 |