Atkin-Lehner |
3- 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17271h |
Isogeny class |
Conductor |
17271 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
4196853 = 37 · 19 · 101 |
Discriminant |
Eigenvalues |
-2 3- 0 2 -5 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,-230] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] [-4:2:1] |
Generators of the group modulo torsion |
j |
64000000/5757 |
j-invariant |
L |
3.9070347130598 |
L(r)(E,1)/r! |
Ω |
1.6316402293434 |
Real period |
R |
0.59863606002044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5757a1 |
Quadratic twists by: -3 |