Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376cd |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.2121113504493E+28 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 -2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10494161505,413749814866641] |
[a1,a2,a3,a4,a6] |
j |
265227624284867472408445504/25153262897967247743 |
j-invariant |
L |
0.61424698610644 |
L(r)(E,1)/r! |
Ω |
0.038390449244145 |
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 |
89376u2 12768bd2 |
Quadratic twists by: -4 -7 |