Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162g |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.6391871279523E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -6 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1175062,394641940] |
[a1,a2,a3,a4,a6] |
Generators |
[-876:27874:1] [36:18754:1] |
Generators of the group modulo torsion |
j |
3814038123905521/773540010432 |
j-invariant |
L |
3.4492433548609 |
L(r)(E,1)/r! |
Ω |
0.1949284737629 |
Real period |
R |
4.4237294945624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296dm2 45486bj2 106134bl2 798h2 |
Quadratic twists by: -4 -3 -7 -19 |