Atkin-Lehner |
2- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38192s |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-302857060352 = -1 · 220 · 7 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11+ -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1568,-10892] |
[a1,a2,a3,a4,a6] |
j |
104021936927/73939712 |
j-invariant |
L |
2.1857487056644 |
L(r)(E,1)/r! |
Ω |
0.54643717642935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774i1 |
Quadratic twists by: -4 |