Atkin-Lehner |
3+ 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17271c |
Isogeny class |
Conductor |
17271 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13152 |
Modular degree for the optimal curve |
Δ |
37771677 = 39 · 19 · 101 |
Discriminant |
Eigenvalues |
2 3+ -2 0 -3 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3321,-73663] |
[a1,a2,a3,a4,a6] |
j |
205797003264/1919 |
j-invariant |
L |
1.2578028499485 |
L(r)(E,1)/r! |
Ω |
0.62890142497423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17271d1 |
Quadratic twists by: -3 |