Atkin-Lehner |
2+ 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610o |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-280485520200 = -1 · 23 · 36 · 52 · 192 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,286,25436] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:148:1] |
Generators of the group modulo torsion |
j |
2600176603751/280485520200 |
j-invariant |
L |
5.8550421976403 |
L(r)(E,1)/r! |
Ω |
0.74918297072933 |
Real period |
R |
0.65126971941367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830cs2 |
Quadratic twists by: -3 |