Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320q |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
40509054270720 = 28 · 38 · 5 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12927,475666] |
[a1,a2,a3,a4,a6] |
Generators |
[95:324:1] |
Generators of the group modulo torsion |
j |
1280116410064/217062405 |
j-invariant |
L |
5.732017449366 |
L(r)(E,1)/r! |
Ω |
0.61557208493071 |
Real period |
R |
2.3279229134432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440u2 |
Quadratic twists by: -3 |