Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298q |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-7105966941701280186 = -1 · 2 · 317 · 317 |
Discriminant |
Eigenvalues |
2- 3- 1 2 3 -3 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-722372,-268693423] |
[a1,a2,a3,a4,a6] |
j |
-64432972729/10983114 |
j-invariant |
L |
5.1919621148214 |
L(r)(E,1)/r! |
Ω |
0.081124408044085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5766e1 558h1 |
Quadratic twists by: -3 -31 |