Atkin-Lehner |
3+ 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18921c |
Isogeny class |
Conductor |
18921 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1781283086585667 = 324 · 7 · 17 · 53 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44709,3000720] |
[a1,a2,a3,a4,a6] |
Generators |
[28198:1657341:8] |
Generators of the group modulo torsion |
j |
9883464069295017937/1781283086585667 |
j-invariant |
L |
2.1431348264585 |
L(r)(E,1)/r! |
Ω |
0.44799574945168 |
Real period |
R |
9.56765696586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56763e3 |
Quadratic twists by: -3 |