Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384v |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
366482574925560576 = 28 · 322 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -6 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184252,8913100] |
[a1,a2,a3,a4,a6] |
Generators |
[11050:390915:8] |
Generators of the group modulo torsion |
j |
2702232642991073488/1431572558302971 |
j-invariant |
L |
3.8484285105344 |
L(r)(E,1)/r! |
Ω |
0.26468710799619 |
Real period |
R |
7.2697694641588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1596c2 25536dq2 19152bv2 44688dr2 |
Quadratic twists by: -4 8 -3 -7 |