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 |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
392355746473807872 = 212 · 37 · 72 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -6 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-366422,-80029740] |
[a1,a2,a3,a4,a6] |
Generators |
[-356:2514:1] [-287:1407:1] |
Generators of the group modulo torsion |
j |
115650783909361/8339853312 |
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 |
121296dm1 45486bj1 106134bl1 798h1 |
Quadratic twists by: -4 -3 -7 -19 |