Atkin-Lehner |
2+ 3+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44304a |
Isogeny class |
Conductor |
44304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
68096 |
Modular degree for the optimal curve |
Δ |
-53743233024 = -1 · 211 · 37 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 5 13- -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6864,221472] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-52:1] |
Generators of the group modulo torsion |
j |
-17465814935714/26241813 |
j-invariant |
L |
6.6106914176336 |
L(r)(E,1)/r! |
Ω |
1.1192939989477 |
Real period |
R |
0.73826575321801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22152b1 |
Quadratic twists by: -4 |