Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304ba |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1172791872 = 26 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-621,-5724] |
[a1,a2,a3,a4,a6] |
j |
21024576/931 |
j-invariant |
L |
1.917981003559 |
L(r)(E,1)/r! |
Ω |
0.95899050177559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304f1 76608d2 38304a1 |
Quadratic twists by: -4 8 -3 |