Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728fk |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
-584559924609024 = -1 · 219 · 36 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18963,-1537326] |
[a1,a2,a3,a4,a6] |
Generators |
[76447:790208:343] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
5.5358324451966 |
L(r)(E,1)/r! |
Ω |
0.1968387773024 |
Real period |
R |
7.0309221130823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466w1 10192bn1 1872n1 |
Quadratic twists by: -4 -3 -7 |