Atkin-Lehner |
2- 7+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15946f |
Isogeny class |
Conductor |
15946 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
190425346048 = 212 · 74 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1463655,681928991] |
[a1,a2,a3,a4,a6] |
Generators |
[699:-338:1] |
Generators of the group modulo torsion |
j |
346768464969851379890625/190425346048 |
j-invariant |
L |
6.7563663872568 |
L(r)(E,1)/r! |
Ω |
0.61670481743562 |
Real period |
R |
0.91296600310761 |
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 |
127568bg2 111622j2 |
Quadratic twists by: -4 -7 |