Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376u |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
224 |
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] |
Generators |
[139743:29132460:1] |
Generators of the group modulo torsion |
j |
265227624284867472408445504/25153262897967247743 |
j-invariant |
L |
4.9306295889817 |
L(r)(E,1)/r! |
Ω |
0.014916436722313 |
Real period |
R |
5.9026802887382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376cd2 12768d2 |
Quadratic twists by: -4 -7 |