Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
19188s |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
61801341710374656 = 28 · 313 · 133 · 413 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24736791,47354705422] |
[a1,a2,a3,a4,a6] |
Generators |
[-2857:307746:1] |
Generators of the group modulo torsion |
j |
8969873074652230258768/331154308719 |
j-invariant |
L |
6.5647752274988 |
L(r)(E,1)/r! |
Ω |
0.25882044593892 |
Real period |
R |
4.2273677437421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76752ck2 6396f2 |
Quadratic twists by: -4 -3 |