Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38440h |
Isogeny class |
Conductor |
38440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17522688 |
Modular degree for the optimal curve |
Δ |
-6.6099055401677E+24 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1241281736,16833563535740] |
[a1,a2,a3,a4,a6] |
Generators |
[473864044558472160501664400698557821928962:31150881897956209510437038513426706821679936:17418371198270738542015478779367252207] |
Generators of the group modulo torsion |
j |
-7812312501499996/244140625 |
j-invariant |
L |
9.1953053265554 |
L(r)(E,1)/r! |
Ω |
0.069956218548561 |
Real period |
R |
65.721858023046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76880h1 38440i1 |
Quadratic twists by: -4 -31 |