Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568ct |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
123172529553014784 = 219 · 3 · 238 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 6 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1067169,424344129] |
[a1,a2,a3,a4,a6] |
Generators |
[1424:42311:1] |
Generators of the group modulo torsion |
j |
3463512697/3174 |
j-invariant |
L |
4.6787701507065 |
L(r)(E,1)/r! |
Ω |
0.32867467960086 |
Real period |
R |
7.1176309663569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568bm2 25392bc2 4416u2 |
Quadratic twists by: -4 8 -23 |