Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640f |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
195255360 = 26 · 39 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1377,-19656] |
[a1,a2,a3,a4,a6] |
Generators |
[8508:149930:27] |
Generators of the group modulo torsion |
j |
229220928/155 |
j-invariant |
L |
6.2825672040812 |
L(r)(E,1)/r! |
Ω |
0.78376108715042 |
Real period |
R |
8.0159213146308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640e1 89280dg1 44640z1 |
Quadratic twists by: -4 8 -3 |