Atkin-Lehner |
2- 3+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38352m |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
29532880896 = 218 · 3 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 2 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-278512,56666560] |
[a1,a2,a3,a4,a6] |
j |
583306826994199153/7210176 |
j-invariant |
L |
3.322977836462 |
L(r)(E,1)/r! |
Ω |
0.83074445911581 |
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 |
4794h2 115056q2 |
Quadratic twists by: -4 -3 |