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 |
3450434511566975625 = 310 · 54 · 72 · 114 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-596160,-152829509] |
[a1,a2,a3,a4,a6] |
Generators |
[1326:36577:1] |
Generators of the group modulo torsion |
j |
32142902669957237761/4733106325880625 |
j-invariant |
L |
5.9560387918272 |
L(r)(E,1)/r! |
Ω |
0.17350573836645 |
Real period |
R |
4.2909523104553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000774 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21945l2 |
Quadratic twists by: -3 |