Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232s |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1007496382464 = -1 · 211 · 37 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1616,-54924] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-1188:1] |
Generators of the group modulo torsion |
j |
-1349273042/2910897 |
j-invariant |
L |
8.56362906951 |
L(r)(E,1)/r! |
Ω |
0.35272436156278 |
Real period |
R |
0.28903012168884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44616l1 89232n1 |
Quadratic twists by: -4 13 |