Atkin-Lehner |
2+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
74048g |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-666351435776 = -1 · 218 · 134 · 89 |
Discriminant |
Eigenvalues |
2+ -1 -3 -4 -2 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,383,39041] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:52:1] [49:416:1] |
Generators of the group modulo torsion |
j |
23639903/2541929 |
j-invariant |
L |
5.4551612974576 |
L(r)(E,1)/r! |
Ω |
0.69703660661183 |
Real period |
R |
0.48913870212041 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048x1 1157b1 |
Quadratic twists by: -4 8 |