Atkin-Lehner |
2- 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446ct |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-1844167905640611936 = -1 · 25 · 33 · 78 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 6 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1747880,891688608] |
[a1,a2,a3,a4,a6] |
j |
-5019614054242745329/15675168557664 |
j-invariant |
L |
7.9473146124106 |
L(r)(E,1)/r! |
Ω |
0.26491048722732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778n1 |
Quadratic twists by: -7 |