Atkin-Lehner |
3- 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89817q |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-268635757946283 = -1 · 35 · 77 · 134 · 47 |
Discriminant |
Eigenvalues |
-2 3- -4 7- -3 13- 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9620,864980] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:487:1] [-96:955:1] |
Generators of the group modulo torsion |
j |
-836962177024/2283366267 |
j-invariant |
L |
5.0883271059788 |
L(r)(E,1)/r! |
Ω |
0.48601849168283 |
Real period |
R |
0.13086763141245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12831a1 |
Quadratic twists by: -7 |