Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34476q |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
304179799359111936 = 28 · 3 · 1312 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169732,4448900] |
[a1,a2,a3,a4,a6] |
j |
437640371152/246167259 |
j-invariant |
L |
3.1756377272583 |
L(r)(E,1)/r! |
Ω |
0.2646364772717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103428k2 2652e2 |
Quadratic twists by: -3 13 |