Atkin-Lehner |
2+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45584d |
Isogeny class |
Conductor |
45584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56159488 = 28 · 72 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 11+ -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-223,1230] |
[a1,a2,a3,a4,a6] |
j |
4790692944/219373 |
j-invariant |
L |
3.9264586245493 |
L(r)(E,1)/r! |
Ω |
1.9632293124468 |
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 |
22792d2 |
Quadratic twists by: -4 |