Atkin-Lehner |
3+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44403a |
Isogeny class |
Conductor |
44403 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20361271042157121 = -1 · 34 · 1910 · 41 |
Discriminant |
Eigenvalues |
1 3+ -2 0 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,54504,-4788315] |
[a1,a2,a3,a4,a6] |
j |
380605258223/432796041 |
j-invariant |
L |
0.41393510218661 |
L(r)(E,1)/r! |
Ω |
0.20696755112296 |
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 |
2337c4 |
Quadratic twists by: -19 |