Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446y |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-233903909662359552 = -1 · 224 · 34 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,54070,-22755652] |
[a1,a2,a3,a4,a6] |
Generators |
[1446:54769:1] |
Generators of the group modulo torsion |
j |
148599082115063/1988150427648 |
j-invariant |
L |
5.6850906954522 |
L(r)(E,1)/r! |
Ω |
0.15363320674316 |
Real period |
R |
4.6255386579937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998525 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778f1 |
Quadratic twists by: -7 |