Atkin-Lehner |
3- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835bm |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-17421718545 = -1 · 39 · 5 · 7 · 113 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2574,51313] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:305:1] |
Generators of the group modulo torsion |
j |
-2587716619489/23898105 |
j-invariant |
L |
8.1823822692655 |
L(r)(E,1)/r! |
Ω |
1.236667226683 |
Real period |
R |
0.55137321859628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21945c1 |
Quadratic twists by: -3 |