Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220z |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1788788143929150000 = -1 · 24 · 32 · 55 · 77 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,249639,-42764436] |
[a1,a2,a3,a4,a6] |
Generators |
[5304:100646:27] |
Generators of the group modulo torsion |
j |
914010221133824/950278021875 |
j-invariant |
L |
6.9201489908465 |
L(r)(E,1)/r! |
Ω |
0.14348058198425 |
Real period |
R |
4.0192134335905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660by1 5460c1 |
Quadratic twists by: -3 -7 |