Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552y |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-11173831424 = -1 · 28 · 77 · 53 |
Discriminant |
Eigenvalues |
2- 0 -1 7- -5 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,392,-4116] |
[a1,a2,a3,a4,a6] |
Generators |
[42:294:1] |
Generators of the group modulo torsion |
j |
221184/371 |
j-invariant |
L |
3.6515222304037 |
L(r)(E,1)/r! |
Ω |
0.67188968374958 |
Real period |
R |
1.3586762524856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10388d1 5936m1 |
Quadratic twists by: -4 -7 |