Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38080a |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-22657600 = -1 · 26 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37,212] |
[a1,a2,a3,a4,a6] |
Generators |
[16:70:1] |
Generators of the group modulo torsion |
j |
87528384/354025 |
j-invariant |
L |
3.8687298315075 |
L(r)(E,1)/r! |
Ω |
1.5275866441778 |
Real period |
R |
1.2662881828191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38080g1 19040n2 |
Quadratic twists by: -4 8 |