Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38220a |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-16180819200 = -1 · 28 · 34 · 52 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-996,13896] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:126:1] [26:-70:1] |
Generators of the group modulo torsion |
j |
-177953104/26325 |
j-invariant |
L |
7.4469605213444 |
L(r)(E,1)/r! |
Ω |
1.1965524074591 |
Real period |
R |
0.1728800286492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114660bi1 38220be1 |
Quadratic twists by: -3 -7 |