Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080bc |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-304640000 = -1 · 212 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 6 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,92,-768] |
[a1,a2,a3,a4,a6] |
Generators |
[38:240:1] |
Generators of the group modulo torsion |
j |
21024576/74375 |
j-invariant |
L |
4.8277483275073 |
L(r)(E,1)/r! |
Ω |
0.87781830231873 |
Real period |
R |
2.7498562713681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38080bi1 19040d1 |
Quadratic twists by: -4 8 |