Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368v |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1543691375428608 = 210 · 310 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2042859,1123841558] |
[a1,a2,a3,a4,a6] |
Generators |
[319:22464:1] [679:7056:1] |
Generators of the group modulo torsion |
j |
10735521941092/17577 |
j-invariant |
L |
12.853036712234 |
L(r)(E,1)/r! |
Ω |
0.40659401554335 |
Real period |
R |
7.9028688444513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456v4 15624m3 |
Quadratic twists by: -3 -7 |