Atkin-Lehner |
2- 3- 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690cd |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
756 |
Product of Tamagawa factors cp |
Δ |
-616850021154816000 = -1 · 221 · 38 · 53 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-529997,153375221] |
[a1,a2,a3,a4,a6] |
Generators |
[441:2074:1] [-681:14416:1] |
Generators of the group modulo torsion |
j |
-22584768826587437449/846159151104000 |
j-invariant |
L |
17.416506865031 |
L(r)(E,1)/r! |
Ω |
0.2871568081992 |
Real period |
R |
0.72204231809034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996756 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
37230k2 |
Quadratic twists by: -3 |