Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64600l |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-158689900000000 = -1 · 28 · 58 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -4 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9508,-706512] |
[a1,a2,a3,a4,a6] |
Generators |
[248:3500:1] |
Generators of the group modulo torsion |
j |
-23767139536/39672475 |
j-invariant |
L |
4.8330358545471 |
L(r)(E,1)/r! |
Ω |
0.22864057745226 |
Real period |
R |
2.6422671273126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200k2 12920m2 |
Quadratic twists by: -4 5 |