Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220p |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-100208712240 = -1 · 24 · 32 · 5 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-15210] |
[a1,a2,a3,a4,a6] |
Generators |
[586:4851:8] |
Generators of the group modulo torsion |
j |
-16384/53235 |
j-invariant |
L |
5.596325937955 |
L(r)(E,1)/r! |
Ω |
0.48248784101174 |
Real period |
R |
2.8997238180244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660bb1 5460d1 |
Quadratic twists by: -3 -7 |