Atkin-Lehner |
3- 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835bl |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
351074025225 = 38 · 52 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1764,1323] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:111:1] |
Generators of the group modulo torsion |
j |
832972004929/481583025 |
j-invariant |
L |
7.0204723923477 |
L(r)(E,1)/r! |
Ω |
0.81251855882711 |
Real period |
R |
2.1600960113086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000286 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21945y2 |
Quadratic twists by: -3 |