Atkin-Lehner |
3- 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835i |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2359512401846621175 = 38 · 52 · 7 · 112 · 198 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9172035,-10689149534] |
[a1,a2,a3,a4,a6] |
Generators |
[150574:20295943:8] |
Generators of the group modulo torsion |
j |
117055903211372886611761/3236642526538575 |
j-invariant |
L |
5.9560387918272 |
L(r)(E,1)/r! |
Ω |
0.086752869183227 |
Real period |
R |
2.1454761552276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945l4 |
Quadratic twists by: -3 |