Atkin-Lehner |
2- 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124100g |
Isogeny class |
Conductor |
124100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
210970000 = 24 · 54 · 172 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- 4 0 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158,-263] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] |
Generators of the group modulo torsion |
j |
43897600/21097 |
j-invariant |
L |
5.7428783358851 |
L(r)(E,1)/r! |
Ω |
1.4117527022355 |
Real period |
R |
0.67798444278557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000210396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124100b1 |
Quadratic twists by: 5 |