Atkin-Lehner |
3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7581b |
Isogeny class |
Conductor |
7581 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-813630425504043 = -1 · 3 · 78 · 196 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12281,1463844] |
[a1,a2,a3,a4,a6] |
j |
-4354703137/17294403 |
j-invariant |
L |
0.87682224594065 |
L(r)(E,1)/r! |
Ω |
0.43841112297032 |
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 |
121296dk5 22743n5 53067q5 21a6 |
Quadratic twists by: -4 -3 -7 -19 |