Atkin-Lehner |
7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44891h |
Isogeny class |
Conductor |
44891 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-190920043005769 = -1 · 73 · 113 · 535 |
Discriminant |
Eigenvalues |
-1 -2 -1 7- 11+ 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-155196,-23554871] |
[a1,a2,a3,a4,a6] |
Generators |
[597:9533:1] |
Generators of the group modulo torsion |
j |
-310589952572294459/143441054099 |
j-invariant |
L |
2.3567505913712 |
L(r)(E,1)/r! |
Ω |
0.12026448136066 |
Real period |
R |
0.65321325263246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44891b1 |
Quadratic twists by: -11 |