Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728fh |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-864057964363776 = -1 · 219 · 37 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 5 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-446187,-114724582] |
[a1,a2,a3,a4,a6] |
Generators |
[1498:50778:1] |
Generators of the group modulo torsion |
j |
-9591639636223/843648 |
j-invariant |
L |
8.3334002823693 |
L(r)(E,1)/r! |
Ω |
0.092360875084327 |
Real period |
R |
3.7594383035527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466ck1 30576cb1 91728ed1 |
Quadratic twists by: -4 -3 -7 |