Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162b |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-296432262 = -1 · 2 · 32 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,145,-429] |
[a1,a2,a3,a4,a6] |
Generators |
[15:66:1] |
Generators of the group modulo torsion |
j |
48627125/43218 |
j-invariant |
L |
2.2695498204029 |
L(r)(E,1)/r! |
Ω |
0.94964956990086 |
Real period |
R |
1.1949406877738 |
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 |
121296cy2 45486ba2 106134x2 15162ba2 |
Quadratic twists by: -4 -3 -7 -19 |