Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376j |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
887730125893632 = 212 · 36 · 77 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-658625,205948401] |
[a1,a2,a3,a4,a6] |
Generators |
[413:2052:1] [-233:18620:1] |
Generators of the group modulo torsion |
j |
65567831132224/1842183 |
j-invariant |
L |
7.303801062999 |
L(r)(E,1)/r! |
Ω |
0.46376827873801 |
Real period |
R |
0.98430096957304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376cz2 12768k2 |
Quadratic twists by: -4 -7 |