Atkin-Lehner |
3- 5- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
77265h |
Isogeny class |
Conductor |
77265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
782308125 = 36 · 54 · 17 · 101 |
Discriminant |
Eigenvalues |
0 3- 5- -5 3 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2982,-62663] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:21:8] |
Generators of the group modulo torsion |
j |
4022713483264/1073125 |
j-invariant |
L |
4.9866449808148 |
L(r)(E,1)/r! |
Ω |
0.64607003297448 |
Real period |
R |
1.9296069790138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8585a1 |
Quadratic twists by: -3 |