Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38440i |
Isogeny class |
Conductor |
38440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
-7447750000000000 = -1 · 210 · 512 · 313 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1291656,-565472000] |
[a1,a2,a3,a4,a6] |
Generators |
[37799093979136252200:404837720544621136640:27706178718521857] |
Generators of the group modulo torsion |
j |
-7812312501499996/244140625 |
j-invariant |
L |
4.5050577290005 |
L(r)(E,1)/r! |
Ω |
0.070807946608852 |
Real period |
R |
31.811808877103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76880g1 38440h1 |
Quadratic twists by: -4 -31 |