Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840c |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-55654076160 = -1 · 28 · 39 · 5 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,297,-11178] |
[a1,a2,a3,a4,a6] |
j |
574992/11045 |
j-invariant |
L |
1.0869466527316 |
L(r)(E,1)/r! |
Ω |
0.54347332636537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16920a2 33840d2 |
Quadratic twists by: -4 -3 |