Atkin-Lehner |
2+ 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286k |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-47264499216 = -1 · 24 · 38 · 112 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 11- 3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10474,-417116] |
[a1,a2,a3,a4,a6] |
Generators |
[205:-2573:1] |
Generators of the group modulo torsion |
j |
-1050366438090673/390615696 |
j-invariant |
L |
2.5015137241263 |
L(r)(E,1)/r! |
Ω |
0.23595344882508 |
Real period |
R |
1.3252157028183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286bd1 |
Quadratic twists by: -11 |