Atkin-Lehner |
2- 3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190br |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-1206285048000 = -1 · 26 · 36 · 53 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,688,52211] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:99:1] |
Generators of the group modulo torsion |
j |
49471280711/1654712000 |
j-invariant |
L |
9.568588964124 |
L(r)(E,1)/r! |
Ω |
0.65233250415876 |
Real period |
R |
2.444711580654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3910b2 |
Quadratic twists by: -3 |