Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552s |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
20023505911808 = 216 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-486488,-130441744] |
[a1,a2,a3,a4,a6] |
j |
539258169625/848 |
j-invariant |
L |
2.8923541663276 |
L(r)(E,1)/r! |
Ω |
0.1807721353968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194b1 41552bl1 |
Quadratic twists by: -4 -7 |