Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304et |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1046839456825344 = -1 · 217 · 39 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 5 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161569,25099201] |
[a1,a2,a3,a4,a6] |
Generators |
[285:1456:1] |
Generators of the group modulo torsion |
j |
-1482171386066/3326427 |
j-invariant |
L |
8.4281557540698 |
L(r)(E,1)/r! |
Ω |
0.49295624081354 |
Real period |
R |
0.71238201433119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999035147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304cq1 30576u1 122304hq1 |
Quadratic twists by: -4 8 -7 |