Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
89712q |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-31265524813824 = -1 · 212 · 36 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -4 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3957,251386] |
[a1,a2,a3,a4,a6] |
Generators |
[114:4459:8] |
Generators of the group modulo torsion |
j |
2294744759/10470761 |
j-invariant |
L |
5.9066893997516 |
L(r)(E,1)/r! |
Ω |
0.47242959288826 |
Real period |
R |
3.1256982481991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5607d1 9968f1 |
Quadratic twists by: -4 -3 |