Atkin-Lehner |
2- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44944h |
Isogeny class |
Conductor |
44944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-4811616828772352 = -1 · 212 · 537 |
Discriminant |
Eigenvalues |
2- -3 0 4 0 -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14045,-3275294] |
[a1,a2,a3,a4,a6] |
j |
3375/53 |
j-invariant |
L |
0.84646561310223 |
L(r)(E,1)/r! |
Ω |
0.21161640326422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2809a1 848e1 |
Quadratic twists by: -4 53 |