Atkin-Lehner |
2- 3+ 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142y |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
773337324816 = 24 · 32 · 72 · 194 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3527,-70099] |
[a1,a2,a3,a4,a6] |
Generators |
[105:802:1] |
Generators of the group modulo torsion |
j |
4852301599161073/773337324816 |
j-invariant |
L |
8.2867434195362 |
L(r)(E,1)/r! |
Ω |
0.62617727692966 |
Real period |
R |
1.654232699917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69426v2 |
Quadratic twists by: -3 |