Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640bk |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-1899859059720000000 = -1 · 29 · 313 · 57 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,163437,-61245862] |
[a1,a2,a3,a4,a6] |
Generators |
[31478638:848093328:50653] |
Generators of the group modulo torsion |
j |
1293532570753912/5090071640625 |
j-invariant |
L |
5.8905945019852 |
L(r)(E,1)/r! |
Ω |
0.1335067581813 |
Real period |
R |
11.030517447628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44640q1 89280ck1 14880e1 |
Quadratic twists by: -4 8 -3 |