Atkin-Lehner |
3- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17019d |
Isogeny class |
Conductor |
17019 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-1004954931 = -1 · 312 · 31 · 61 |
Discriminant |
Eigenvalues |
2 3- -3 0 -3 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-489,-4433] |
[a1,a2,a3,a4,a6] |
j |
-17738739712/1378539 |
j-invariant |
L |
1.010741616915 |
L(r)(E,1)/r! |
Ω |
0.50537080845749 |
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 |
5673b1 |
Quadratic twists by: -3 |